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

Kentaro Mikami

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arXiv · 1407.1249

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

Kentaro Mikami

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Abstract

In \cite{KOT:MORITA}, Kotschick and Morita showed that the Gel'fand-Kalinin-Fuks class in $\ds \HGF{7}{2}{}{8}$ 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 $\dsω\wedge :\HGF{5}{2}{0}{10} \rightarrow\HGF{7}{2}{}{8}$ 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.

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Kentaro Mikami. 2014-07-03. Another proof to Kotschick-Morita's Theorem of Kontsevich homomorphism. https://arxiv.org/abs/1407.1249

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