通过双周期复合体的超曲面的虚类

arXiv: Algebraic Geometry Pub Date : 2020-10-26 DOI:10.1090/CONM/763/15326

M. Shoemaker

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摘要

这些说明性笔记是基于2018年5月雪鸟研讨会上的一系列讲座，“在枚举几何中跨越墙壁”。对代数几何中虚基类的概念作了介绍，给出了超曲面Gromov-Witten理论虚基类的一种新构造。本文给出的结果是基于与I. Ciocan-Fontanine、D. Favero、J. Gu\'er\ e和B. Kim的共同工作。

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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Virtual classes for hypersurfaces via two-periodic complexes

These expository notes are based on a series of lectures given at the May 2018 Snowbird workshop, Crossing the Walls in Enumerative Geometry. We give an introductory treatment of the notion of a virtual fundamental class in algebraic geometry, and describe a new construction of the virtual fundamental class for Gromov-Witten theory of a hypersurface. The results presented here are based on joint work with I. Ciocan-Fontanine, D. Favero, J. Gu\'er\'e, and B. Kim.

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arXiv: Algebraic Geometry

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