**Proceedings of Symposia in Pure Mathematics**

Volume: 93;
2016;
396 pp;
Hardcover

MSC: Primary 14; 18; 19; 22; 53; 58; 81; 83;

**Print ISBN: 978-1-4704-1992-9
Product Code: PSPUM/93**

List Price: $120.00

AMS Member Price: $96.00

MAA Member Price: $108.00

**Electronic ISBN: 978-1-4704-3015-3
Product Code: PSPUM/93.E**

List Price: $120.00

AMS Member Price: $96.00

MAA Member Price: $108.00

# String-Math 2014

Share this page *Edited by *
*Vincent Bouchard; Charles Doran; Stefan Méndez-Diez; Callum Quigley*

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.

#### Readership

Advanced graduate students, post-docs, and most Ph.D. mathematicians and mathematical physicists interested in string theory and quantum field theory.

# Table of Contents

## String-Math 2014

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- List of Plenary Speakers for String-Math 2014 xi12
- List of Contributed Speakers for String-Math 2014 xi12
- List of Speakers for the String-Math Summer School xii13
- List of Speakers for the ‘Calabi-Yau Manifolds and their Moduli’ Workshop xii13
- List of Speakers for the ‘Quantum Curves and Quantum Knot Invariants’ Workshop xiii14
- All genus mirror symmetry for toric Calabi-Yau 3-orbifolds 116
- Symmetries and defects in three-dimensional topological field theory 2136
- Quantum curves and topological recursion 4156
- A few recent developments in 2d (2,2) and (0,2) theories 6782
- Codimension two defects and the Springer correspondence 89104
- Higher spin AdS₃ holography and superstring theory 99114
- Humbert surfaces and the moduli of lattice polarized K3 surfaces 109124
- Superconformal field theories and cyclic homology 141156
- Differential K-characters and D-branes 151166
- Integral pentagon relations for 3d superconformal indices 167182
- Wilson Surfaces in 6D (2,0) Theory and AdS₇/CFT₆ 177192
- Motivic zeta functions of the quartic and its mirror dual 189204
- Semistability and Instability in Products and Applications 201216
- Local and relative BPS state counts for del Pezzo surfaces 215230
- Resurgence and topological strings 221236
- Chern-Simons splitting of 2+1D gauge theories 233248
- A strange family of Calabi-Yau 3-folds 245260
- 1. Introduction 245260
- 2. Construction and Basic Invariants of the (31,1) family 247262
- 3. Picard-Fuchs Equation and Maximally Unipotent Monodromy 251266
- 4. Mirror Symmetry and A-model Yukawa couplings 254269
- 5. Calabi-Yau differential equations, Monodromy, and the search for a mirror pair 257272
- 6. Conclusion and Open Questions 260275
- 7. Appendix: Expansion of the conifold period 260275
- References 261276

- Calabi-Yau threefolds fibred by Kummer surfaces associated to products of elliptic curves 263278
- Weighted Hurwitz numbers and hypergeometric 𝜏-functions: an overview 289304
- Calabi–Yau threefolds with infinite fundamental group 335350
- Logarithmic invariants of links 343358
- Positivity of Hochster theta over ℂ 353368
- Cohomological Donaldson–Thomas theory 363378
- Introduction 363378
- 1. An overview of DT theory 364379
- 2. A salient example 369384
- 3. Quivers with potential and their representations 372387
- 4. Local and global structure of the moduli space 376391
- 5. The DT sheaf and its cohomology 379394
- 6. Some computational results 384399
- 7. The Kontsevich–Soibelman cohomological Hall algebra 385400
- 8. Further directions 387402
- Appendix A. Perverse sheaves, vanishing cycles, and Hodge modules 389404
- References 392407

- Back Cover Back Cover1418