Torus localization and wall crossing for cosection localized virtual cycles

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• 作者：Huai-Liang Chang^a ; ^{mahlchang@ust.hk} ; Young-Hoon Kiem^b ; ^{kiem@math.snu.ac.kr} ; Jun Li^c ; ^d ; ^{jli@math.stanford.edu}
• 关键词：Cosection localization ; Virtual pullback ; Virtual cycles
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：21 February 2017
• 年：2017
• 卷：308
• 期：Complete
• 页码：964-986
• 全文大小：472 K
• 卷排序：308

文摘

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.