Contact Cohomology of the Projective Plane

Abstract

We construct an associative ring which is a deformation of the quantum cohomology ring of the projective plane. Just as the quantum cohomology encodes the incidence characteristic numbers of rational plane curves, the contact cohomology encodes the tangency characteristic numbers.

18 pages AMSLaTeX v 2e with xy-pic v 3.2; minor revison

References in corpus (2)

• The quantum cohomology of homogeneous varieties
• Recursive Formulas for the Characteristic Numbers of Rational Plane Curves