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arXiv · 2210.16267

Oriented Getzler-Kapranov complexes and framed curves

Alexey Kalugin
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Abstract

In the present paper, we introduce and study oriented Getzler-Kapranov complexes. These complexes are generalizations of S. Merkulov's oriented graph complex. We investigate their relation to the cohomology of moduli spaces of complex and tropical curves, ribbon graph complexes, and motivic structures in string topology.

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Alexey Kalugin. 2022-10-28. Oriented Getzler-Kapranov complexes and framed curves. https://arxiv.org/abs/2210.16267

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