On the cohomology of the Losev-Manin moduli space
Jonas Bergstr\"om, Satoshi Minabe
TL;DR
This paper computes the cohomology of the Losev-Manin moduli space of pointed genus zero curves, revealing its structure as a representation of a product of symmetric groups.
Contribution
It provides a detailed description of the cohomology of the Losev-Manin moduli space as a symmetric group representation, a novel result in this area.
Findings
Cohomology described as a symmetric group representation
Explicit structure of cohomology groups obtained
Advances understanding of moduli space topology
Abstract
We determine the cohomology of the Losev-Manin moduli space of pointed genus zero curves as a representation of the product of symmetric groups.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology