IMPLODED CROSS-SECTIONS

被引：0

作者：

Jeffrey, Lisa ^{[1
]}

Zabanfahm, Sina ^{[1
]}

机构：

[1] Univ Toronto, Math Dept, Toronto, ON, Canada

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

symplectic; implosion; cross-section; Hamiltonian system; TORIC DEGENERATIONS; IMPLOSION; HOMOLOGY; SPACES; ANALOG; BASES;

D O I：

10.1216/rmj.2021.51.193

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this survey article, we describe imploded cross-sections, which were developed in order to solve the problem that the cross-section of a Hamiltonian K-space is usually not symplectic. In some specific examples we contrast the intersection homology of some imploded cross-sections with their homology intersection spaces. Moreover, we compute the homology of intersection spaces associated to the open cone of a simply connected, smooth, oriented manifold and the suspension of such a manifold.

引用

页码：193 / 211

页数：19

共 40 条

[1]

Albin P., 2017, Advanced Lectures in Mathematics, V39, P1

[2]

Alekseev A, 1998, J DIFFER GEOM, V48, P445, DOI 10.4310/jdg/1214460860

[3]

[Anonymous], 1998, Transform. Groups

[4]

Banagl M., 2010, LECT NOTES MATH