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Product Code:  PSPUM/93 
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Electronic ISBN:  9781470430153 
Product Code:  PSPUM/93.E 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 93; 2016; 396 ppMSC: Primary 14; 18; 19; 22; 53; 58; 81; 83;
The conference StringMath 2014 was held from June 9–13, 2014, at the University of Alberta. This edition of StringMath is the first to include satellite workshops: “StringMath Summer School” (held from June 2–6, 2014, at the University of British Columbia), “CalabiYau Manifolds and their Moduli” (held from June 14–18, 2014, at the University of Alberta), and “Quantum Curves and Quantum Knot Invariants” (held from June 16–20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops.
For mathematics, string theory has been a source of many significant inspirations, ranging from SeibergWitten theory in fourmanifolds, to enumerative geometry and GromovWitten theory in algebraic geometry, to work on the Jones polynomial in knot theory, to recent progress in the geometric Langlands program and the development of derived algebraic geometry and ncategory theory. In the other direction, mathematics has provided physicists with powerful tools, ranging from powerful differential geometric techniques for solving or analyzing key partial differential equations, to toric geometry, to Ktheory and derived categories in Dbranes, to the analysis of CalabiYau manifolds and string compactifications, to modular forms and other arithmetic techniques. Articles in this book address many of these topics.ReadershipAdvanced graduate students, postdocs, and most Ph.D. mathematicians and mathematical physicists interested in string theory and quantum field theory.

Table of Contents

Articles

Bohan Fang, ChiuChu Melissa Liu and Zhengyu Zong  All genus mirror symmetry for toric CalabiYau 3orbifolds

Jürgen Fuchs and Christoph Schweigert  Symmetries and defects in threedimensional topological field theory

Paul Norbury  Quantum curves and topological recursion

Eric Sharpe  A few recent developments in 2d (2,2) and (0,2) theories

Aswin Balasubramanian  Codimension two defects and the Springer correspondence

Thomas Creutzig, Yasuaki Hikida and Peter B. Rønne  Higher spin AdS$_3$ holography and superstring theory

Charles F. Doran, Andrew Harder, Hossein Movasati and Ursula Whitcher  Humbert surfaces and the moduli of lattice polarized K3 surfaces

Richard Eager  Superconformal field theories and cyclic homology

Fabio Ferrari Ruffino  Differential Kcharacters and Dbranes

Ilmar Gahramanov and Hjalmar Rosengren  Integral pentagon relations for 3d superconformal indices

Hironori Mori and Satoshi Yamaguchi  Wilson Surfaces in 6D (2,0) Theory and AdS$_{7}$/CFT$_{6}$

Johannes Nicaise, D. Peter Overholser and Helge Ruddat  Motivic zeta functions of the quartic and its mirror dual

Alexander H. W. Schmitt  Semistability and Instability in Products and Applications

Michel van Garrel  Local and relative BPS state counts for del Pezzo surfaces

M. Vonk  Resurgence and topological strings

Tuna Yildirim  ChernSimons splitting of 2+1D gauge theories

Howard J. Nuer and Patrick Devlin  A strange family of CalabiYau 3folds

Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev and Alan Thompson  CalabiYau threefolds fibred by Kummer surfaces associated to products of elliptic curves

J. Harnad  Weighted Hurwitz numbers and hypergeometric $\tau $functions: an overview

Atsushi Kanazawa  Calabi–Yau threefolds with infinite fundamental group

Jun Murakami  Logarithmic invariants of links

Mohammad Reza Rahmati  Positivity of Hochster theta over $\mathbb {C}$

Balázs Szendrői  Cohomological Donaldson–Thomas theory


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The conference StringMath 2014 was held from June 9–13, 2014, at the University of Alberta. This edition of StringMath is the first to include satellite workshops: “StringMath Summer School” (held from June 2–6, 2014, at the University of British Columbia), “CalabiYau Manifolds and their Moduli” (held from June 14–18, 2014, at the University of Alberta), and “Quantum Curves and Quantum Knot Invariants” (held from June 16–20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops.
For mathematics, string theory has been a source of many significant inspirations, ranging from SeibergWitten theory in fourmanifolds, to enumerative geometry and GromovWitten theory in algebraic geometry, to work on the Jones polynomial in knot theory, to recent progress in the geometric Langlands program and the development of derived algebraic geometry and ncategory theory. In the other direction, mathematics has provided physicists with powerful tools, ranging from powerful differential geometric techniques for solving or analyzing key partial differential equations, to toric geometry, to Ktheory and derived categories in Dbranes, to the analysis of CalabiYau manifolds and string compactifications, to modular forms and other arithmetic techniques. Articles in this book address many of these topics.
Advanced graduate students, postdocs, and most Ph.D. mathematicians and mathematical physicists interested in string theory and quantum field theory.

Articles

Bohan Fang, ChiuChu Melissa Liu and Zhengyu Zong  All genus mirror symmetry for toric CalabiYau 3orbifolds

Jürgen Fuchs and Christoph Schweigert  Symmetries and defects in threedimensional topological field theory

Paul Norbury  Quantum curves and topological recursion

Eric Sharpe  A few recent developments in 2d (2,2) and (0,2) theories

Aswin Balasubramanian  Codimension two defects and the Springer correspondence

Thomas Creutzig, Yasuaki Hikida and Peter B. Rønne  Higher spin AdS$_3$ holography and superstring theory

Charles F. Doran, Andrew Harder, Hossein Movasati and Ursula Whitcher  Humbert surfaces and the moduli of lattice polarized K3 surfaces

Richard Eager  Superconformal field theories and cyclic homology

Fabio Ferrari Ruffino  Differential Kcharacters and Dbranes

Ilmar Gahramanov and Hjalmar Rosengren  Integral pentagon relations for 3d superconformal indices

Hironori Mori and Satoshi Yamaguchi  Wilson Surfaces in 6D (2,0) Theory and AdS$_{7}$/CFT$_{6}$

Johannes Nicaise, D. Peter Overholser and Helge Ruddat  Motivic zeta functions of the quartic and its mirror dual

Alexander H. W. Schmitt  Semistability and Instability in Products and Applications

Michel van Garrel  Local and relative BPS state counts for del Pezzo surfaces

M. Vonk  Resurgence and topological strings

Tuna Yildirim  ChernSimons splitting of 2+1D gauge theories

Howard J. Nuer and Patrick Devlin  A strange family of CalabiYau 3folds

Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev and Alan Thompson  CalabiYau threefolds fibred by Kummer surfaces associated to products of elliptic curves

J. Harnad  Weighted Hurwitz numbers and hypergeometric $\tau $functions: an overview

Atsushi Kanazawa  Calabi–Yau threefolds with infinite fundamental group

Jun Murakami  Logarithmic invariants of links

Mohammad Reza Rahmati  Positivity of Hochster theta over $\mathbb {C}$

Balázs Szendrői  Cohomological Donaldson–Thomas theory