A perfect obstruction theory for SU(2)-Higgs pairs

Autor:	Schirren, Simon
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We redefine the perfect obstruction theory for $\mathbf{SU}(r)$-Higgs sheaves constructed by Tanaka-Thomas using a different method in the rank $2$ case: The key step here is a modification of the $\mathbf{C}^\times$-localisation formula from Graber-Pandharipande, replacing the torus action by an involution $(E,\phi) \mapsto (E^*,-\phi^*)$
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.16625 Zobrazit plný text záznamu View this record from Arxiv