Compactifications of $${{\cal M}_{0,n}}$$ Associated with Alexander Self-Dual Complexes: Chow Rings, ψ-Classes, and Intersection Numbers

Autor: Ilia Nekrasov, Gaiane Panina
Rok vydání: 2019
Předmět:
Zdroj: Proceedings of the Steklov Institute of Mathematics. 305:232-250
ISSN: 1531-8605
0081-5438
DOI: 10.1134/s0081543819030131
Popis: An Alexander self-dual complex gives rise to a compactification of $${{\cal M}_{0,n}}$$ , called an ASD compactification, which is a smooth algebraic variety. ASD compactifications include (but are not exhausted by) the polygon spaces, or the configuration spaces of flexible polygons. We present an explicit description of the Chow rings of ASD compactifications. We study the analogs of Kontsevich’s tautological bundles, compute their Chern classes, compute top intersections of the Chern classes, and derive a recursion for the intersection numbers.
Databáze: OpenAIRE
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