ON COHOMOLOGY OF QUASITORIC MANIFOLDS OVER A VERTEX CUT OF A FINITE PRODUCT OF SIMPLICES

被引：0

作者：

Sarkar, Soumen ^{[1
]}

Sau, Subhankar ^{[2
]}

机构：

[1] Indian Inst Technol Madras, Dept Math, Chennai, India

[2] Inst Math Sci, Dept Math, Chennai, India

来源：

MOSCOW MATHEMATICAL JOURNAL | 2024年 / 24卷 / 02期

关键词：

Torus action; quasitoric manifold; vertex cut; cohomology ring; TORIC MANIFOLDS; CLASSIFICATION;

D O I：

10.17323/1609-4514-2024-24-2-287-315

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we classify the characteristic matrices associated to quasitoric manifolds over a vertex cut of a finite product of simplices satisfying a 'sign condition'. We discuss the integral cohomology rings of these quasitoric manifolds with possibly minimal generators and show several relations among the products of these generators. We classify integral cohomology rings (up to isomorphism as graded rings) of the quasitoric manifolds over the vertex cut of a finite product of simplices.

引用

页码：287 / 315

页数：29

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