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Contact Cohomology of the Projective Plane

1997/03/10 by Lars Ernström, Ernström, Lars, Gary J. Kennedy +1
Mathematics · #14C17 #14N10 (Primary) 14D22 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.alg-geom/9703013

openalex publication_date 1997/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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