English

Virtual classes for hypersurfaces via two-periodic complexes

Algebraic Geometry 2020-10-27 v2 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1811.12298,
  title  = {Virtual classes for hypersurfaces via two-periodic complexes},
  author = {Mark Shoemaker},
  journal= {arXiv preprint arXiv:1811.12298},
  year   = {2020}
}

Comments

To appear in Singularities, Mirror Symmetry, and the Gauged Linear Sigma Model. Many changes based on referee suggestions

R2 v1 2026-06-23T06:25:32.332Z