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Ode/Im Correspondence And Quantum Periods

by Hongfei Shu e Katsushi Ito

~~67,58€~~ 60,82€ 10% OFF

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 This correspondence is an example of the mysterious link between classical and quantum integrable systems, which produces many interesting applications in mathematical physics, including exact WKB analysis, the quantum Seibergâ€"Witten curve, and the AdSâ€"CFT correspondence.
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Ode/Im Correspondence And Quantum Periods

by Hongfei Shu e Katsushi Ito

~~66,24€~~ 59,62€ 10% OFF

 This correspondence is an example of the mysterious link between classical and quantum integrable systems, which produces many interesting applications in mathematical physics, including exact WKB analysis, the quantum Seibergâ€"Witten curve, and the AdSâ€"CFT correspondence.
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Branes And Daha Representations

by Du Pei, Ingmar Saberi, Peter Koroteev, Satoshi Nawata e Sergei Gukov

54,06€ + 10% CARD

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 In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory.
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Macdonald Polynomials - Commuting Family Of Q-Difference Operators And Their Joint Eigenfunctions

by Masatoshi Noumi

59,61€ + 10% CARD

 <div><div>This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH), Stockholm, in February and March 2021.</div> <p></p>Macdonald polynomials are a class of symmetric orthogonal polynomials in many variables. They include important classes of special functions such as Schur functions and Hall-Littlewood polynomials and play important roles in various fields of mathematics and mathematical physics. After an overview of Schur functions, the author introduces Macdonald polynomials (of type A, in the <i>GL<sub>n</sub></i> version) as eigenfunctions of a <i>q</i>-difference operator, called the Macdonald-Ruijsenaars operator, in the ring of symmetric polynomials. Starting from this definition, various remarkable properties of Macdonald polynomials are explained, such as orthogonality, evaluation formulas, and self-duality, with emphasis on the roles of commuting <i>q</i>-difference operators. The author also explains how Macdonald polynomials are formulated in the framework of affine Hecke algebras and <i>q</i>-Dunkl operators.</div><p></p><p></p>
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Shuffle Approach Towards Quantum Affine And Toroidal Algebras

by Alexander Tsymbaliuk

52,99€ + 10% CARD

 This book is based on the author''s mini course delivered at Tokyo University of Marine Science and Technology in March 2019. <div><br></div><div>The shuffle approach to Drinfeld-Jimbo quantum groups of finite type (embedding their "positive" subalgebras into q-deformed shuffle algebras) was first developed independently in the 1990s by J. Green, M. Rosso, and P. Schauenburg. Motivated by similar ideas, B. Feigin and A. Odesskii proposed a shuffle approach to elliptic quantum groups around the same time. The shuffle algebras in the present book can be viewed as trigonometric degenerations of the Feigin-Odesskii elliptic shuffle algebras. They provide combinatorial models for the "positive" subalgebras of quantum affine algebras in their loop realizations. These algebras appeared first in that context in the work of B. Enriquez.</div><div><br></div><div>Over the last decade, the shuffle approach has been applied to various problems in combinatorics (combinatorics of Macdonald polynomials and Dyck paths, generalization to wreath Macdonald polynomials and operators), geometric representation theory (especially the study of quantum algebras’ actions on the equivariant K-theories of various moduli spaces such as affine Laumon spaces, Nakajima quiver varieties, nested Hilbert schemes), and mathematical physics (the Bethe ansatz, quantum Q-systems, and quantized Coulomb branches of quiver gauge theories, to name just a few).</div><div><br></div><div>While this area is still under active investigation, the present book focuses on quantum affine/toroidal algebras of type A and their shuffle realization, which have already illustrated a broad spectrum of techniques. The basic results and structures discussed in the book are of crucial importance for studying intrinsic properties of quantum affinized algebras and are instrumental to the aforementioned applications.</div>
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Hochschild Cohomology, Modular Tensor Categories, And Mapping Class Groups I

by Christoph Schweigert, Simon Lentner, Svea Nora Mierach e Yorck Sommerhauser

59,61€ + 10% CARD

 <div><div>The book addresses a key question in topological field theory and logarithmic conformal field theory: In the case where the underlying modular category is not semisimple, topological field theory appears to suggest that mapping class groups do not only act on the spaces of chiral conformal blocks, which arise from the homomorphism functors in the category, but also act on the spaces that arise from the corresponding derived functors. It is natural to ask whether this is indeed the case. The book carefully approaches this question by first providing a detailed introduction to surfaces and their mapping class groups. Thereafter, it explains how representations of these groups are constructed in topological field theory, using an approach via nets and ribbon graphs. These tools are then used to show that the mapping class groups indeed act on the so-called derived block spaces. Toward the end, the book explains the relation to Hochschild cohomology of Hopf algebras and the modular group.</div><div><br></div></div>
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The Origins And Continuity Of Chinese Sociology

by Tiankui Jing

162,21€ + 10% CARD

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 This book examines the origins and basic concepts of sociology in China and traces the disciplineâ€™s evolutionary trajectory. The book argues that the rise of Chinese sociology will depend crucially on whether the rich heritage of traditional Chinese sociology can be fully appreciated and integrated with the Western tradition of learning.
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Infinite-Dimensional Dirac Operators And Supersymmetric Quantum Fields - An Introduction To Analysis On Bosonâ€“Fermion Fock Spaces

by Asao Arai

50,01€ + 10% CARD

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 This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis.
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Elliptic Extensions In Statistical And Stochastic Systems

by Makoto Katori

31,08€ + 10% CARD

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 At the elliptic level, many special functions are used, including Jacobi's theta functions, Weierstrass elliptic functions, Jacobi's elliptic functions, and others. Then, the seven systems of orthogonal theta functions, written using a polynomial of the argument multiplied by a single theta function, or pairs of such functions, can be defined.
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String-Net Construction Of Rcft Correlators

by Christoph Schweigert, Jurgen Fuchs e Yang Yang

60,82€ + 10% CARD

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 The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature.
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Elliptic Extensions In Statistical And Stochastic Systems

by Makoto Katori

59,61€ + 10% CARD

 At the elliptic level, many special functions are used, including Jacobi's theta functions, Weierstrass elliptic functions, Jacobi's elliptic functions, and others. Then, the seven systems of orthogonal theta functions, written using a polynomial of the argument multiplied by a single theta function, or pairs of such functions, can be defined.
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String-Net Construction Of Rcft Correlators

by Christoph Schweigert, Jurgen Fuchs e Yang Yang

59,61€ + 10% CARD

 The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature.
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Infinite-Dimensional Dirac Operators And Supersymmetric Quantum Fields - An Introduction To Analysis On Boson-Fermion Fock Spaces

by Asao Arai

66,24€ + 10% CARD

 This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis.
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Beauty And Human Existence In Chinese Philosophy

by Keping Wang

135,18€ + 10% CARD

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 This book considers the Chinese conception of beauty from a historical perspective with regard to its significant relation to human personality and human existence. It examines the etymological implications of the pictographic character mei, the totemic symbolism of beauty, the ferocious beauty of the bronzeware.
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Entropy, Divergence, And Majorization In Classical And Quantum Thermodynamics

by Takahiro Sagawa

72,86€ + 10% CARD

 Rich information-theoretic structure in out-of-equilibrium thermodynamics exists in both the classical and quantum regimes, leading to the fruitful interplay among statistical physics, quantum information theory, and mathematical theories such as matrix analysis and asymptotic probability theory.
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English-Medium Instruction Translanguaging Practices In Asia - Theories, Frameworks And Implementation In Higher Education

189,25€ + 10% CARD

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 This book examines translanguaging pedagogy in Asiaâ€™s English-medium instruction (EMI) higher education.
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The Key Code And Advanced Handbook For The Governance And Supervision Of Banks In Australia

by Francesco De Zwart

243,33€ + 10% CARD

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 This Key Code and Handbook examines the corporate governance and accountability of Major Banks, their directors and executives which were the central focus of bank, Supervisor, Regulator and governmental activity and public scrutiny in 2018 and 2019.
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Recent Progress On The Donaldson-Thomas Theory - Wall-Crossing And Refined Invariants

by Yukinobu Toda

72,86€ + 10% CARD

 This book is an exposition of recent progress on the Donaldson-Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi-Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov-Witten/Donaldson-Thomas conjecture on curve-counting theories, wall-crossing in derived categories with respect to Bridgeland stability conditions, BPS state counting in string theory, and others. <div><br></div><div>Recently, a deeper structure of the moduli spaces of coherent sheaves on Calabi-Yau 3-folds was found through derived algebraic geometry. These moduli spaces admit shifted symplectic structures and the associated d-critical structures, which lead to refined versions of DT invariants such as cohomological DT invariants. The idea of cohomological DT invariants led to a mathematical definition of the Gopakumar-Vafa invariant, which was firstproposed by Gopakumar-Vafa in 1998, but its precise mathematical definition has not been available until recently.</div><div><br></div><div>This book surveys the recent progress on DT invariants and related topics, with a focus on applications to curve-counting theories.</div><div><br></div>
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Ground States Of Quantum Field Models - Perturbation Of Embedded Eigenvalues

by Fumio Hiroshima

54,06€ + 10% CARD

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 This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory. We show the existence of the ground state of the Pauliâ€"Fierz mode, the Nelson model, and the spin-boson model, and several kinds of proofs of the existence of ground states are explicitly provided.
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Entropy, Divergence, And Majorization In Classical And Quantum Thermodynamics

by Takahiro Sagawa

74,34€ + 10% CARD

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 Rich information-theoretic structure in out-of-equilibrium thermodynamics exists in both the classical and quantum regimes, leading to the fruitful interplay among statistical physics, quantum information theory, and mathematical theories such as matrix analysis and asymptotic probability theory.
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Environmental Remote Sensing In Flooding Areas - A Case Study Of Ayutthaya, Thailand

by Apitach Saokarn, Chunxiang Cao, Min Xu, Patcharin Kamsing, Peera Yomwan e Sornkitja Boonprong

118,97€ + 10% CARD

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 This book introduces flood inundation area and flood risks assessment based on a comprehensive monitoring system using remote sensing and geographic information system technologies.
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Inverse Spectral And Scattering Theory - An Introduction

by Hiroshi Isozaki

60,82€ + 10% CARD

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 The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.
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Elliptic Quantum Groups - Representations And Related Geometry

by Hitoshi Konno

74,34€ + 10% CARD

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 This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation.
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Coast Guards And Ocean Politics In The Arctic

by Andreas Ã˜Sthagen

67,58€ + 10% CARD

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 This book is about how coast guards are becoming statesâ€™ foremost tool to manage changes occurring in ocean politics generally, and in the Arctic specifically.
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