TOPOLOGY OF COMPLEXITY ONE QUOTIENTS

Yael Karshon; Susan Tolman

doi:10.2140/pjm.2020.308.333

TOPOLOGY OF COMPLEXITY ONE QUOTIENTS

Yael Karshon^*, Susan Tolman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We describe of the topology of the geometric quotients of 2n-dimensional compact connected symplectic manifolds with (n−1)-dimensional torus actions. When the isotropy weights at each fixed point are in general position, the quotient is homeomorphic to a sphere.

Original language	English
Pages (from-to)	332-346
Number of pages	15
Journal	Pacific Journal of Mathematics
Volume	308
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2020.308.333
State	Published - 2020
Externally published	Yes

Funding

Funders	Funder number
Natural Sciences and Engineering Research Council of Canada

Keywords

Grassmannian
Hamiltonian group action
complexity one
geometric quotient
momentum map
symplectic quotient
toric topology
torus action

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10.2140/pjm.2020.308.333

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title = "TOPOLOGY OF COMPLEXITY ONE QUOTIENTS",

abstract = "We describe of the topology of the geometric quotients of 2n-dimensional compact connected symplectic manifolds with (n−1)-dimensional torus actions. When the isotropy weights at each fixed point are in general position, the quotient is homeomorphic to a sphere.",

keywords = "Grassmannian, Hamiltonian group action, complexity one, geometric quotient, momentum map, symplectic quotient, toric topology, torus action",

author = "Yael Karshon and Susan Tolman",

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KW - Grassmannian

KW - Hamiltonian group action

KW - complexity one

KW - geometric quotient

KW - momentum map

KW - symplectic quotient

KW - toric topology

KW - torus action

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TOPOLOGY OF COMPLEXITY ONE QUOTIENTS

Abstract

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Keywords

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