The Log Product Formula in quantum $K$-theory
Autor: | Chou, You-Cheng, Herr, Leo, Lee, Yuan-Pin |
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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 |
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