Morse inequalities for orbifold cohomology

DOI10.2140/agt.2009.9.1105zbMath1175.55004arXiv0712.2432OpenAlexW1963480580MaRDI QIDQ1022513

Richard Hepworth

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/0712.2432

zbMATH Keywords

Morse inequalitiesRiemannian metricvector fieldMorse functiondifferentiable stackcoarse moduli spacesMorse Lemmadifferentiable Deligne-Mumford stacks

Mathematics Subject Classification ID

Variational problems in infinite-dimensional spaces (58E99) Critical points and critical submanifolds in differential topology (57R70) Algebraic topology of manifolds (57N65) Orbifold cohomology (55N32) Topology and geometry of orbifolds (57R18)

Related Items (14)

On the homotopy type of higher orbifolds and Haefliger classifying spaces ⋮ On Morse-Smale-Witten type cohomologies for orbifolds ⋮ Higher operations in string topology of classifying spaces ⋮ Asymptotically holomorphic theory for symplectic orbifolds ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ Diffeological coarse moduli spaces of stacks over manifolds ⋮ Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi ⋮ Morse theory for complexes of groups ⋮ Morse inequalities for orbifold Borel homology ⋮ Approximating orbifold spectra using collapsing connected sums ⋮ Riemannian metrics on Lie groupoids ⋮ Orbifold transversality ⋮ Étale stacks as prolongations ⋮ Orbifold Morse–Smale–Witten complexes

Cites Work

• Differentiable stacks and gerbes
• The loop orbifold of the symmetric product
• A new cohomology theory of orbifold
• Equivariant differential topology
• Morse Theory, the Conley Index and Floer Homology
• Differential Topology
• Hamiltonian torus actions on symplectic orbifolds and toric varieties
• FUNDAMENTAL GROUPS OF ALGEBRAIC STACKS
• An invitation to Morse theory
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