Work

Virtual Fundamental Classes of Zero Loci

Year: 2000

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0006116

Authors: Cox, David A., Katz, Sheldon, Lee, Yuan-Pin

Institutions: Amherst College, Oklahoma State University, University of California, Los Angeles

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4394636771

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