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math.SGOct 7, 2019
2
citations (OpenAlex)
authors
  • Jun Li
  • Weiwei Wu
arXiv abstractPDF
paper

Topology of symplectomorphism groups and ball-swappings

arXiv:1910.01682

Abstract

In this survey article, we summarize some recent progress and problems on the symplectomorphism groups, with an emphasis on the connection to the space of ball-packings.

arXiv comment20 pages. Comments welcome!

References in corpus (11)

  • The topology of the space of symplectic balls in rational 4-manifolds
  • Lagrangian spheres, symplectic surfaces and the symplectic mapping class group
  • New obstructions to symplectic embeddings
  • Dehn twists and free subgroups of symplectic mapping class groups
  • Symplectic embeddings of ellipsoids in dimension greater than four
  • The homotopy type of the space of symplectic balls in rational ruled 4-manifolds
  • Ellipsoid embeddings and symplectic packing stability
  • Symplectic (−2)-spheres and the symplectomorphism group of small rational 4-manifolds, II
  • Isotopies of high genus Lagrangian surfaces
  • Secondary Stiefel-Whitney class and diffeomorphisms of rational and ruled symplectic 4-manifolds
  • The quantum Johnson homomorphism and symplectomorphism of 3-folds

Cited by in corpus (2)

  • Symplectic (−2)-spheres and the symplectomorphism group of small rational 4-manifolds, II
  • Stability of the symplectomorphism group of rational surfaces
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