Virtual fundamental classes, global normal cones and Fulton’s canonical classes
By Bernd S Siebert. 2005
53 citations recorded by the source corpus.
This note, written in January 19971, grew out of an attempt to understand references [Be], [BeFa] and [LiTi]. In these papers two related but different methods are presented for the construction of a certain Chow class on moduli spaces of stable (parametrized) curves in a projective manifold V, called virtual fundamental class. This class replaces the usual fundamental class of these spaces in the definition of basic enumerative invariants of V involving curves, called Gromov-Witten (GW-) invariants. They are invariant under smooth deformations of V.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1a7a5b3b0525106f3156dafaa4f0cb7bcf5ef62d
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In Geometry and Topology
- Mark Gross
- Bernd S Siebert
- Dhruv Ranganathan
- P. Hacking
- D. Abramovich
- S. Keel
- Martin Ulirsch
- M. Kontsevich
In Mathematical Physics
- Mark Gross
- Bernd S Siebert
- M. Abouzaid
- L. Katzarkov
- M. Kontsevich
- Martin Ulirsch
- T. Nishinou
- 'Alvaro Pelayo
Citations in the corpus
- Logarithmic Gromov-Witten invariants (2011, methodology): “3]. A low tech approach based on a global version of Artin’s obstruction theory [Ar], close to the original approach of Li and Tian [LiTi] and avoiding cotangent complexes completely is also possible [Si1],[Si3], but this would be less economic. Some remarks on logarithmic cotangent complexes are in”