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Virtual Fundamental Classes of Zero Loci

David A. Cox·Sheldon Katz·Yuan-Pin Lee
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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.

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David A. Cox, Sheldon Katz, Yuan-Pin Lee. 2000-12-06. Virtual Fundamental Classes of Zero Loci. https://arxiv.org/abs/math/0006116

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