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Full Description
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.
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
