**Proceedings of Symposia in Pure Mathematics**

Volume: 85;
2012;
484 pp;
Hardcover

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

Print ISBN: 978-0-8218-7295-6

Product Code: PSPUM/85

List Price: $113.00

AMS Member Price: $90.40

MAA Member Price: $101.70

**Electronic ISBN: 978-0-8218-9391-3
Product Code: PSPUM/85.E**

List Price: $113.00

AMS Member Price: $90.40

MAA Member Price: $101.70

# String-Math 2011

Share this page *Edited by *
*Jonathan Block; Jacques Distler; Ron Donagi; Eric Sharpe*

The nature of interactions between mathematicians and
physicists has been thoroughly transformed in recent years. String
theory and quantum field theory have contributed a series of profound
ideas that gave rise to entirely new mathematical fields and
revitalized older ones. The influence flows in both directions, with
mathematical techniques and ideas contributing crucially to major
advances in string theory. A large and rapidly growing number of both
mathematicians and physicists are working at the string-theoretic
interface between the two academic fields.

The String-Math conference series aims to bring together leading
mathematicians and mathematically minded physicists working in this
interface.

This volume contains the proceedings of the inaugural conference in
this series, String-Math 2011, which was held June 6–11, 2011, at the
University of Pennsylvania.

#### Readership

Graduate students and research mathematicians interested in string theory, algebraic geometry, and differential geometry.

# Table of Contents

## String-Math 2011

- Contents v6 free
- Preface vii8 free
- List of Participants xi12 free
- Plenary talks: 116 free
- Refined Chern-Simons theory and knot homology 318
- Elusive worldsheet instantons in heterotic string compactifications 3348
- The largest Matheiu group and (mock) automorphic forms 5368
- (0,2) quantum cohomology 8398
- Foundations of quantum Field theory 105120
- Homological algebra of knots and BPS states 125140
- Motivic structures in QFT 173188
- On 2d TQFT’s whose values are holomorphic symplectic varieties 191206
- The Witten equation and the geometry of the Landau-Ginzburg model 209224
- Non-Kähler Calabi-Yau manifolds 241256
- F-theory GUTs: Global aspects and phenomenology 255270
- Higgs bundles and string phenomenology 275290

- Contributed talks: 291306
- Topological T-duality with monodromy 293308
- Variable transformation defects 303318
- The D-brane U-scan 313328
- An invitation to algebraic topological string theory 323338
- Landau-Ginzburg mirror symmetry for orbifolded Frobenius algebras 333348
- On Hirzebruch invariants of elliptic fibrations 355370
- G[sub(2)] structure deformations and warped products 367382
- Noncommutative solitons and quasi-determinants 381396
- Computing cohomology on toric varieties 391406
- Fibrancy of symplectic homology in cotangent bundles 401416
- Curved string topology and tangential Fukaya categories 409424
- Target space dualities of heterotic grand unified theories 423438
- Freed-Witten anomaly and D-brane gauge theories 433448
- Singularity structure and massless dyons of pure Seiberg-Witten theories with SU and Sp gauge groups 443458
- An Introduction to the theory of higher rank stable pairs and virtual localization 455470
- HMS for punctured tori and categorical maping class group actions 467482
- Vanishing chiral algebras and Höhn-Stolz conjecture 477492