Morse theory on Lie groupoids

DOI10.1007/S00209-024-03525-5MaRDI QIDQ6564146

Cristián Ortiz, Fabricio Valencia

Publication date: 28 June 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

Morse inequalitiesLie groupoiddifferentiable stackMorse lemmaMorse-Smale dynamicsMorse double complex

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Critical points and critical submanifolds in differential topology (57R70) Morse-Smale systems (37D15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Lie groupoids and their orbispaces
• Riemannian metrics on Lie groupoids
• Differentiable stacks and gerbes
• Geometry of orbit spaces of proper Lie groupoids
• On Morse-Smale-Witten type cohomologies for orbifolds
• Proper Lie groupoids are real analytic
• Chern character for twisted \(K\)-theory of orbifolds
• Morse inequalities for orbifold cohomology
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Gradient flows of Morse-Bott functions
• Orbispaces as differentiable stratified spaces
• Floer homology of connected sum of homology 3-spheres
• Equivariant cohomology for Hamiltonian torus actions on symplectic orbifolds
• A new topology for the set \(\text{C}^{\infty,G}(M,N)\) of \(G\)-equivariant smooth maps
• Toric symplectic stacks
• Euler-like vector fields, normal forms, and isotropic embeddings
• Equivariant cohomology for differentiable stacks
• Lie 2-algebras of vector fields
• On invariant linearization of Lie groupoids
• Splitting theorems for Poisson and related structures
• On the Lie 2-algebra of sections of an \(\mathcal{LA}\)-groupoid
• Convexity properties of presymplectic moment maps
• Presymplectic convexity and (ir)rational polytopes
• Stability of \(C^ \infty\) mappings. V: Transversality
• Equivariant differential topology
• Witten's formulas for intersection pairings on moduli spaces of flat \(G\)-bundles
• A proof of the Morse-Bott lemma.
• Riemannian metrics on differentiable stacks
• Nondegenerate critical manifolds
• Orbifold Morse-Smale-Witten complexes
• Proper groupoids and momentum maps: Linearization, affinity, and convexity
• Vector Fields and Flows on Differentiable Stacks
• Morse-Bott homology
• Morse Theory. (AM-51)
• Hamiltonian torus actions on symplectic orbifolds and toric varieties
• Classical lifting processes and multiplicative vector fields
• LINEARIZATION OF REGULAR PROPER GROUPOIDS
• Symplectic groupoids and Poisson manifolds
• Resolutions of Proper Riemannian Lie Groupoids
• Morita Equivalences of Vector Bundles
• Stacky Hamiltonian Actions and Symplectic Reduction
• On the linearization theorem for proper Lie groupoids
• Deformations of Lie Groupoids
• An invitation to Morse theory
• Foliation groupoids and their cyclic homology
• Orbifold Euler characteristics of non‐orbifold groupoids
• Isometric Lie 2-group actions on Riemannian groupoids

This page was built for publication: Morse theory on Lie groupoids

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6564146)