On topological approach to local theory of surfaces in Calabi–Yau threefolds

Journal Article · Mon Mar 19 00:00:00 EDT 2018 · Advances in Theoretical and Mathematical Physics

DOI:https://doi.org/10.4310/ATMP.2017.v21.n7.a4· OSTI ID:1598324

Gukov, Sergei ^[1]; Liu, Chiu-Chu Melissa ^[2]; Sheshmani, Artan ^[3]; Yau, Shing-Tung ^[4]

---

1. California Inst. of Technology (CalTech), Pasadena, CA (United States); Max-Planck-Institut für Mathematik, Bonn (Germany)
2. Columbia Univ., New York, NY (United States)
3. Aarhus Univ. (Denmark); Harvard Univ., Cambridge, MA (United States); National Research University Higher School of Economics, Laboratory of Mirror Symmetry, Moscow (Russia)
4. Harvard Univ., Cambridge, MA (United States)

In this work, we study the web of dualities relating various enumerative invariants, notably Gromov-Witten invariants and invariants that arise in topological gauge theory. In particular, we study Donaldson- Thomas gauge theory and its reductions to D = 4 and D = 2 which are relevant to the local theory of surfaces in Calabi-Yau threefolds.

• Research Organization: California Institute of Technology (CalTech), Pasadena, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC); National Science Foundation (NSF); Simons Foundation
• Grant/Contract Number: SC0011632; 335739; DMS-1206667; DMS-1159416; DMS-0804454; PHY-1306313; DMS 1308244; DMS-159412; PHY-0937443; 38558
• OSTI ID: 1598324
• Journal Information: Advances in Theoretical and Mathematical Physics, Vol. 21, Issue 7; ISSN 1095-0761
• Publisher: International Press
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING