Torus localization and wall crossing for cosection localized virtual cycles

Huai Liang Chang; Young Hoon Kiem; Jun Li

doi:10.1016/j.aim.2016.12.019

Torus localization and wall crossing for cosection localized virtual cycles

Huai Liang Chang^*, Young Hoon Kiem, Jun Li

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal Article › peer-review

32 Citations (Scopus)

Abstract

The theory of virtual fundamental class defines important invariants such as the Gromov–Witten and the Donaldson–Thomas invariants. It has been generalized to the cosection localized virtual cycle which has applications in Seiberg–Witten, Fan–Jarvis–Ruan–Witten and other invariants. In this paper, we prove the formulas of virtual pullback, torus localization and wall crossing for cosection localized virtual cycles.

Original language	English
Pages (from-to)	964-986
Number of pages	23
Journal	Advances in Mathematics
Volume	308
DOIs	https://doi.org/10.1016/j.aim.2016.12.019
Publication status	Published - 21 Feb 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

Cosection localization
Virtual cycles
Virtual pullback

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10.1016/j.aim.2016.12.019

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title = "Torus localization and wall crossing for cosection localized virtual cycles",

abstract = "The theory of virtual fundamental class defines important invariants such as the Gromov–Witten and the Donaldson–Thomas invariants. It has been generalized to the cosection localized virtual cycle which has applications in Seiberg–Witten, Fan–Jarvis–Ruan–Witten and other invariants. In this paper, we prove the formulas of virtual pullback, torus localization and wall crossing for cosection localized virtual cycles.",

keywords = "Cosection localization, Virtual cycles, Virtual pullback",

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T1 - Torus localization and wall crossing for cosection localized virtual cycles

AU - Chang, Huai Liang

AU - Kiem, Young Hoon

AU - Li, Jun

PY - 2017/2/21

Y1 - 2017/2/21

N2 - The theory of virtual fundamental class defines important invariants such as the Gromov–Witten and the Donaldson–Thomas invariants. It has been generalized to the cosection localized virtual cycle which has applications in Seiberg–Witten, Fan–Jarvis–Ruan–Witten and other invariants. In this paper, we prove the formulas of virtual pullback, torus localization and wall crossing for cosection localized virtual cycles.

AB - The theory of virtual fundamental class defines important invariants such as the Gromov–Witten and the Donaldson–Thomas invariants. It has been generalized to the cosection localized virtual cycle which has applications in Seiberg–Witten, Fan–Jarvis–Ruan–Witten and other invariants. In this paper, we prove the formulas of virtual pullback, torus localization and wall crossing for cosection localized virtual cycles.

KW - Cosection localization

KW - Virtual cycles

KW - Virtual pullback

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000409292900027

UR - https://openalex.org/W2962843842

UR - https://www.scopus.com/pages/publications/85008700641

U2 - 10.1016/j.aim.2016.12.019

DO - 10.1016/j.aim.2016.12.019

M3 - Journal Article

SN - 0001-8708

VL - 308

SP - 964

EP - 986

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Torus localization and wall crossing for cosection localized virtual cycles

Abstract

Bibliographical note

Keywords

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