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

Gukov, Sergei; Liu, Chiu-Chu Melissa; Sheshmani, Artan; Yau, Shing-Tung

doi:10.4310/ATMP.2017.v21.n7.a4

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

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Abstract

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.

Authors:

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

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

Publication Date:: Mon Mar 19 00:00:00 EDT 2018

Research Org.:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC); National Science Foundation (NSF); Simons Foundation

OSTI Identifier:: 1598324

Grant/Contract Number:: SC0011632; 335739; DMS-1206667; DMS-1159416; DMS-0804454; PHY-1306313; DMS 1308244; DMS-159412; PHY-0937443; 38558

Resource Type:: Accepted Manuscript

Journal Name:: Advances in Theoretical and Mathematical Physics

Additional Journal Information:: Journal Volume: 21; Journal Issue: 7; Journal ID: ISSN 1095-0761

Publisher:: International Press

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Gukov, Sergei, Liu, Chiu-Chu Melissa, Sheshmani, Artan, and Yau, Shing-Tung. On topological approach to local theory of surfaces in Calabi–Yau threefolds.  United States: N. p., 2018. 
Web.  doi:10.4310/ATMP.2017.v21.n7.a4.

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                    Gukov, Sergei, Liu, Chiu-Chu Melissa, Sheshmani, Artan, & Yau, Shing-Tung. On topological approach to local theory of surfaces in Calabi–Yau threefolds.  United States.  https://doi.org/10.4310/ATMP.2017.v21.n7.a4

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                    Gukov, Sergei, Liu, Chiu-Chu Melissa, Sheshmani, Artan, and Yau, Shing-Tung. Mon .  
"On topological approach to local theory of surfaces in Calabi–Yau threefolds".  United States.  https://doi.org/10.4310/ATMP.2017.v21.n7.a4.  https://www.osti.gov/servlets/purl/1598324.

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@article{osti_1598324,

  title        = {On topological approach to local theory of surfaces in Calabi–Yau threefolds},

  author       = {Gukov, Sergei and Liu, Chiu-Chu Melissa and Sheshmani, Artan and Yau, Shing-Tung},

  abstractNote = {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.},

  doi          = {10.4310/ATMP.2017.v21.n7.a4},

  journal      = {Advances in Theoretical and Mathematical Physics},

  number       = 7,

  volume       = 21,

  place        = {United States},

  year         = {Mon Mar 19 00:00:00 EDT 2018},

  month        = {Mon Mar 19 00:00:00 EDT 2018}

}

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