Getzler-Kapranov complexes and moduli stacks of curves
Alexey Kalugin
TL;DR
This paper explores Getzler-Kapranov complexes and their connection to the cohomology of moduli stacks of curves, providing insights into the algebraic and geometric structures of these moduli spaces.
Contribution
It establishes a new relationship between Getzler-Kapranov complexes and the cohomology of moduli stacks of curves, advancing understanding of their algebraic structures.
Findings
Identification of the role of Getzler-Kapranov complexes in moduli cohomology
New computational methods for moduli stack cohomology
Enhanced understanding of algebraic structures in moduli spaces
Abstract
In this paper, we study the so-called Getzler-Kapranov complexes and their relation to the cohomology of moduli stacks of curves.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology