量子k理论中的对数积公式

IF 0.8 3区数学 Q3 MATHEMATICS

Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2020-12-17 DOI:10.1017/S0305004123000063

You-Cheng Chou, Leo Herr, Yuan-Pin Lee

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引用次数: 8

摘要

摘要我们证明了一个用V和W的不变量表示log光滑变量$V \乘以W$的k理论log Gromov-Witten不变量的公式。证明需要引入k理论中的log虚基类，并验证它们的各种函子性质。我们引入了k理论的对数版本并证明了这个公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Log Product Formula in Quantum K-theory

Abstract 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.

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来源期刊

Mathematical Proceedings of the Cambridge Philosophical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.