Another proof to Kotschick-Morita's Theorem of Kontsevich homomorphism

2014/07/03 by Kentaro Mikami, Mikami, Kentaro
Mathematics · #17B66 #57R32 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:17B66 #msc:57R32

paper · pdf · doi:10.48550/arxiv.1407.1249

arxiv created 2014/07/03 · openalex publication_date 2014/07/03 · arxiv updated 2014/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In \citeKOT:MORITA, Kotschick and Morita showed that the Gel'fand-Kalinin-Fuks class in \ds \HGF728 is decomposed as a product η\wedge ω of some leaf cohomology class η and a transverse symplectic class ω. In other words, the Kontsevich homomorphism \dsω\wedge :\HGF52010 →\HGF728 is isomorphic. In this paper, we give proof for the Kotschick and Morita's theorem by using the Gröbner Basis theory and computer symbol calculations.

Citations

• The Gelfand-Kalinin-Fuks class and characteristic classes of transversely symplectic foliations
• Higher weight Gel'fand-Kalinin-Fuks classes of formal Hamiltonian vector fields of symplectic R²

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• Cohomologie tangente et cup-produit pour la quantification de Kontsevich
• Hochschild Cohomology and Twisted Complexes on Complex Manifolds
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• The Gelfand-Kalinin-Fuks class and characteristic classes of transversely symplectic foliations