Graph Cohomology and Kontsevich Cycles

نویسنده

  • KIYOSHI IGUSA
چکیده

We use the duality between compactly supported cohomology of the associative graph complex and the cohomology of the mapping class group to show that the duals of the Kontsevich cycles [Wλ] correspond to polynomials in the Miller-Morita-Mumford classes. We also compute the coefficients of the first two terms of this polynomial. This extends the results of [Igu], giving a more detailed answer to a question of Kontsevich [Kon92] and verifying more of the conjectured formulas of Arbarello and Cornalba [AC96].

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تاریخ انتشار 2003