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Institute for the Physics and Mathematics of the UniverseWPI

IPMU Mathematics seminar in Kashiwa

Date: May 8 (Thu), 2008, 15:30 - 17:30
Place: Room 630, 6th floor, Research Centers Building, Kashiwa Campus of the University of Tokyo.
Speaker: Yukinobu Toda (IPMU)
Title: Limit stable objects on Calabi-Yau 3-folds.
Abstract: The purpose of this talk is to introduce the notion of limit stability on the category of perverse coherent sheaves on Calabi-Yau 3-folds, and construct new enumerative invariants of curves via limit stable objects. I will show that such invariants are generalizations of stable pair invariants introduced by Pandharipande and Thomas. I will also propose a conjectual wall-crossing formula of our new invariants, and show that such a formula will solve the rationality conjecture of the generating functions of stable pair invariants.