David A. CoxDepartment of Mathematics \& Computer Science, Amherst College, Amherst MA 01002Sheldon KatzDepartment of Mathematics, Oklahoma State University, Stillwater OK 74078Yuan-Pin LeeDepartment of Mathematics, University of Utah, Salt Lake City, Utah, 84112
Algebraic Geometrymathscidoc:2204.45028
2000.12
Let V be a convex vector bundle over a smooth projective manifold X, and let Y be the subset of X which is the zero locus of a regular section of V. This mostly expository paper discusses a conjecture which relates the virtual fundamental classes of X and Y. Using an argument due to Gathmann, we prove a special case of the conjecture. The paper concludes with a discussion of how our conjecture relates to the mirror theorems in the literature.
@inproceedings{david2000virtual,
title={Virtual Fundamental Classes of Zero Loci},
author={David A. Cox, Sheldon Katz, and Yuan-Pin Lee},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415115803970416046},
year={2000},
}
David A. Cox, Sheldon Katz, and Yuan-Pin Lee. Virtual Fundamental Classes of Zero Loci. 2000. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415115803970416046.