The Log Product Formula in quantum $K$-theory

Autor: Chou, You-Cheng, Herr, Leo, Lee, Yuan-Pin
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1017/S0305004123000063
Popis: We prove a formula expressing the $K$-theoretic log Gromov-Witten invariants of a product of log smooth varieties $V \times W$ in terms of the invariants of $V$ and $W$. The proof requires introducing log virtual fundamental classes in $K$-theory and verifying their various functorial properties. We introduce a log version of $K$-theory and prove the formula there as well.
Comment: 21 pages, comments welcome! v2: 27 pages, example added distinguishing log Gysin map from ordinary one
Databáze: arXiv