On topological approach to local theory of surfaces in Calabi-Yau threefolds

Abstract

We study the web of dualities relating various enumerative invariants, notably Gromov-Witten invariants and invariants that arise in topological gauge theory. In particular, we study Donaldson-Thomas gauge theory and its reductions to D=4 and D=2 which are relevant to the local theory of surfaces in Calabi-Yau threefolds.

arXiv comment38 pages, To Appear in Adv. Theor. Math. Phys. (2017)