Cohomology of quotients in real symplectic geometry

DOI10.2140/agt.2022.22.3249OpenAlexW2862555343MaRDI QIDQ2688265

Thomas John Baird, Nasser Heydari

Publication date: 2 March 2023

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03875

zbMATH Keywords

Lagrangian submanifoldsequivariant cohomologyHamiltonian actionsKirwan surjectivityLagrangian quotientsreal symplectic geometry

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Lagrangian submanifolds; Maslov index (53D12)

Cites Work

• Real symplectic geometry
• The mod 2 cohomology of fixed point sets of anti-symplectic involutions
• Elementary abelian p-subgroups of algebraic groups
• Gradient flow of the norm squared of a moment map
• Elementary abelian \(p\) subgroups of Lie groups
• On the cohomology of the classifying spaces of PSU (4n+2) and PO (4n+2)
• Conjugation spaces
• Moduli Spaces of Vector Bundles over a Real Curve: ℤ/2-Betti Numbers
• A Note on Lagrangian Loci of Quotients
• Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution
• The Yang-Mills equations over Riemann surfaces
• Real loci of symplectic reductions
• The Yang-Mills equations over Klein surfaces

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