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math.SGFeb 1, 2010
19
citations (OpenAlex)
authors
  • Peter Albers
  • Al Momin
institutions
  • Purdue University West Lafayette
arXiv abstractPDF
paper

Cup-length estimates for leaf-wise intersections

arXiv:1002.3283 · doi:10.1017/S0305004110000435

Abstract

We prove that on a restricted contact type hypersurface the number of leaf-wise intersections is bounded from below by a certain cup-length.

13 pages, 4 figures; v2: minor modifications

References in corpus (8)

  • Leaf-wise intersections and Rabinowitz Floer homology
  • Infinitely many leaf-wise intersections on cotangent bundles
  • Non-displaceable contact embeddings and infinitely many leaf-wise intersections
  • Existence of leafwise intersection points in the unrestricted case
  • Coisotropic Submanifolds, Leafwise Fixed Points, and Presymplectic Embeddings
  • Leafwise Coisotropic Intersections
  • On the Rabinowitz Floer homology of twisted cotangent bundles
  • Coisotropic Intersections

Cited by in corpus (11)

  • Rabinowitz Floer homology: A survey
  • On iterated translated points for contactomorphisms of R^{2n+1} and R^{2n} x S^1
  • Generalized Rabinowitz Floer homology and coisotropic intersections
  • Cuplength estimates in Morse cohomology
  • Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings
  • Coisotropic Ekeland-Hofer capacities
  • Rigid constellations of closed Reeb orbits
  • Künneth Formula in Rabinowitz Floer homology
  • On magnetic leaf-wise intersections
  • Fragility and Persistence of Leafwise Intersections
  • Generating functions in symplectic and contact geometry
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