TY - JOUR

T1 - Compactifications of ℳ, n Associated with Alexander Self-Dual Complexes

T2 - Chow Rings, ψ-Classes, and Intersection Numbers

AU - Nekrasov, Ilia I.

AU - Panina, Gaiane Yu.

N1 - Nekrasov, I.I. & Panina, G.Y. Proc. Steklov Inst. Math. (2019) 305: 232. https://doi.org/10.1134/S0081543819030131

PY - 2019

Y1 - 2019

N2 - An Alexander self-dual complex gives rise to a compactification of ℳ, 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.

AB - An Alexander self-dual complex gives rise to a compactification of ℳ, 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.

UR - http://www.scopus.com/inward/record.url?scp=85073567417&partnerID=8YFLogxK

U2 - 10.1134/S0081543819030131

DO - 10.1134/S0081543819030131

M3 - Article

AN - SCOPUS:85073567417

VL - 305

SP - 232

EP - 250

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -