A partial order on the group of contactomorphisms of \R2n+1 via generating functions
In this note we construct a nontrivial partial order on the identity component of the group of compactly supported contactomorphisms of \R2n+1 using the method of generating functions. Our construction is in the framework of the theory developed by Viterbo in the paper \cite{V} wherein, among other things, he showed how one could use generating functions to construct a partial order on the group of compactly supported Hamiltonian symplectomorphisms of \R2n.
Anahtar Kelimeler:
Turk. J. Math., 25, (2001), 125-136. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.
A partial order on the group of contactomorphisms of \R2n+1 via generating functions
In this note we construct a nontrivial partial order on the identity component of the group of compactly supported contactomorphisms of \R2n+1 using the method of generating functions. Our construction is in the framework of the theory developed by Viterbo in the paper \cite{V} wherein, among other things, he showed how one could use generating functions to construct a partial order on the group of compactly supported Hamiltonian symplectomorphisms of \R2n.
Keywords:
Turk. J. Math., 25, (2001), 125-136. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
G-bundles on Abelian surfaces, hyperk\"aler manifolds, and stringy Hodge numbers
Jim Bryan, Ron Donagi, Naichung Conan Leung
Torus fibrations on symplectic four-manifolds
A partial order on the group of contactomorphisms of \R2n+1 via generating functions
The topology of symplectic manifolds
Knotting of algebraic curves in complex surfaces
Floer homology and its continuity for non-compact Lagrangian submanifolds
Symplectic maps to projective spaces and symplectic invariants
The Verlinde algebra is twisted equivariant K-theory
Sections of Lefschetz fibrations and Stein fillings