Weighted Quasimap Wall-crossing via Localization
2020-07
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Weighted Quasimap Wall-crossing via Localization
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2020-07
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The aim of this paper is to prove a wall-crossing formula at the level of virtual fundamental classes of weighted stable quasimaps to a class of GIT quotients via localization. The idea of the proof is to use virtual localization on a larger moduli space, referred to as the ``master space'', the fixed-point loci of which are in one-to-one correspondence with the terms in the wall-crossing formula. As an immediate application, we obtain the modified string and dilaton equations for stable quasimaps to GIT quotients.
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University of Minnesota Ph.D. dissertation. July 2020. Major: Mathematics. Advisor: Ionut Ciocan-Fontanine. 1 computer file (PDF); iv, 50 pages.
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Pinharry, Michelle. (2020). Weighted Quasimap Wall-crossing via Localization. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/216347.
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