Topology of complexity one quotients

DOI10.2140/pjm.2020.308.333zbMath1459.53077arXiv1810.01026OpenAlexW2894684242MaRDI QIDQ827443

Yael Karshon, Susan Tolman

Publication date: 8 January 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01026

zbMATH Keywords

torus actionGrassmannianmomentum mapsymplectic quotienttoric topologycomplexity onegeometric quotientHamiltonian group action

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20)

Related Items

Torus action on quaternionic projective plane and related spaces, Torus actions of complexity one in non-general position, Orbit spaces for torus actions on Hessenberg varieties, Toric topology of the Grassmannian of planes in $\mathbb{C}^5$ and the del Pezzo surface of degree $5$, Resolution of singularities of the orbit spaces \(G_{n,2}/T^n\), Orbit spaces of maximal torus actions on oriented Grassmannians of planes

Cites Work

• Convexity properties of the moment mapping
• Stratified symplectic spaces and reduction
• The moment map and line bundles over presymplectic toric manifolds
• Non-Abelian convexity by symplectic cuts
• Examples of non-Kähler Hamiltonian torus actions
• Complete invariants for Hamiltonian torus actions with two dimensional quotients
• Torus actions of complexity 1 and their local properties
• Classification of Hamiltonian torus actions with two-dimensional quotients
• Centered complexity one Hamiltonian torus actions
• Openness and convexity for momentum maps
• Convexity and Commuting Hamiltonians
• Periodic Hamiltonian flows on four-dimensional manifolds
• Hamiltonian torus actions on symplectic orbifolds and toric varieties
• Revisiting Tietze–Nakajima: Local and Global Convexity for Maps
• Unnamed Item
• Unnamed Item
• Unnamed Item