Abstract:The theory of Mixed-Spin fields was introduced by Chang-Li-Li-Liu for the quintic threefold, aiming at studying its higher genus Gromov-Witten invariants. Chang-Guo-Li has successfully applied it to prove famous conjectures on the higher-genus Gromov-Witten invariants proposed by physicists. In this talk I will explain a generalization of the construction to more spaces. The generaliz...
Abstract Sheaves on non-reduced curves can appear in moduli spaces of 1-dimensional semistable sheaves over a surface, and moduli spaces of Higgs bundles as well. We estimate the dimension of the stack M_X(nC, \chi) of pure sheaves supported at the non-reduced curve nC (n ≥ 2) with C an integral curve on X. We prove that the Hilbert-Chow morphism h_{L,\chi} : M_X^H(L, \chi) -> |L| sending each...