String-Math 2014: (Proceedings of Symposia in Pure Mathematics)

The conference String-Math 2014 was held from June 9-13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: ``String-Math Summer School'' (held from June 2-6, 2014, at the University of British Columbia), ``Calabi-Yau 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 Seiberg-Witten theory in four-manifolds, to enumerative geometry and Gromov-Witten 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 n-category 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 K-theory and derived categories in D-branes, to the analysis of Calabi-Yau manifolds and string compactifications, to modular forms and other arithmetic techniques. Articles in this book address many of these topics.

Table of Contents:
All genus mirror symmetry for toric Calabi-Yau 3-orbifolds by B. Fang, C.-C. M. Liu, and Z. Zong Symmetries and defects in three-dimensional tpological field theory by J. Fuchs and C. Schweigert Quantum curves and topological recursion by P. Norbury A few recent developments in 2d $(2,2)$ and $(0,2)$ theories by E. Sharpe Codimension two defects and the Springer correspondence by A. Balasubramanian Higher spin AdS$_3$ holography and superstring theory by T. Creutzig, Y. Hikida, and P. B. Ronne Humbert surfaces and the moduli of lattice polarized K3 surfaces by C. F. Doran, A. Harder, H. Movasati, and U. Whitcher Superconformal field theories and cyclic homology by R. Eager Differential $K$-characters and $D$-branes by F. F. Ruffino Integral pentagon relations for 3d superconformal indices by I. Gahramanov and H. Rosengren Wilson surfaces in 6D $(2,0)$ theory and AdS$_7/CFT_6$ by H. Mori and S. Yamaguchi Motivic zeta functions of the quartic and its mirror dual by J. Nicaise, D. P. Overholser, and H. Ruddat Semistability and instability in products and applications by A. H. W. Schmitt Local and relative BPS state counts for del Pezzo surfaces by M. van Garrel Resurgence and topological strings by M. Vonk Chern-simons splitting of $2+1D$ gauge theories by T. Yildirim A strange family of Calabi-Yau 3-folds by H. J. Nuer and P. Devlin Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves by C. F. Doran, A. Harder, A. Y. Novoseltsev, and A. Thompson Weighted Hurwitz numbers and hypergeometric $\tau$-functions: An overview by J. Harnad Calabi-Yau threefolds with infinite fundamental group by A. Kanazawa Logarithmic invariants of links by J. Murakami Positivity of Hochster theta over $\mathbb{C}$ by M. R. Rahmati Cohomological Donaldson-Thomas theory by B. Szendroi

About the Author :
Vincent Bouchard and Charles Doran, University of Alberta, Edmonton, Alberta, Canada. Stefan Mendez-Diez, Utah State University, Logan, UT, USA. Callum Quigley, University of Toronto, Ontario, Canada.