Department of Mathematics - Master Calendar

Title: (Partial) cohomological field theories in log Gromov-Witten theory

Abstract: Abramovich, Chen, Gross, and Siebert introduced punctured curves to describe log stable maps with negative contact orders. Using these, they construct an intrinsic mirror to a variety with log structure. We introduce a new formalism of “pierced maps” for negative contact orders in log geometry. We are able to prove new gluing formulas for these pierced maps and comparison results for our curve counts with theirs.