Local Gromov-Witten invariants of some simple normal crossing surfaces

Abstract

Inspired by M-theory and superconformal field theory, we extend the notions of local Gromov-Witten invariants from the case of del Pezzo surfaces to shrinkable surfaces, a class of reducible surfaces with simple normal crossings satisfying certain positivity conditions.

arXiv commentThe original version focused on local snc del Pezzo surfaces and our results now apply more generally. Much of the original version has been removed since it has been rendered obsolete by the work of the second author on the embeddability question. 10 pages