Virtual Fundamental Classes of Zero Loci

Details Virtual Fundamental Classes of Zero Loci Virtual Fundamental Classes of Zero Loci

2000-06-16

arxiv.org/abs/math/0006116v2

Mathematics

Algebraic Geometry

11 pages, Latex2e, using amsmath, amsfonts and amsthm packages. This revision includes minor revisions to the text and 4 new r

Scientific paper

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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