Multiplicative Quantum Cobordism Theory

Abstract: $K$-theoretic Gromov-Witten invariants were proposed by Kontsevich in the 80s, and the foundations were developed by YP Lee in 1999. I will introduce a modified form of these invariants obtained by twisting the virtual structure sheaf by an arbitrary characteristic class of the tangent bundle of the moduli space of stable maps, and state a formula relating the generating function for these invariants to the unmodified ones. I'll also discuss how these invariants can be used to define Gromov-Witten invariants valued in other complex-oriented cohomology theories, the universal example of which is cobordism theory. This talk is based on work from arxiv.org/abs/2101.09305.

algebraic geometry

Audience: researchers in the discipline

American Graduate Student Algebraic Geometry Seminar

Series comments: The American Graduate Student Algebraic Geometry Seminar (AGSAGS) is a virtual seminar by and for algebraic geometry graduate students.

The goal of this seminar is for graduate students to share their research through online talks and to provide an algebraic geometry graduate networking system. Grad students, postdocs, and professors are welcome to attend.

Seminars will be held on Mondays at 4 p.m. Eastern on Zoom. We hope this time is convenient for graduate students in the Americas, hence the name AGSAGS. Prior registration is required and interested participants should register here: sites.google.com/view/agsags/registration. In addition to graduate talks, there will be occasional social events.