Orientations of Morse flow trees in Legendrian contact homology
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2016
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914772130201600 |
|---|---|
| author | Karlsson, Cecilia |
| author_facet | Karlsson, Cecilia |
| contents | Let $Λ$ be a closed, connected, spin Legendrian submanifold of the 1-jet space of a smooth $n$-dimensional manifold. We give a coherent orientation scheme for the moduli space of rigid Morse flow trees of $Λ$, implying that the Legendrian contact homology of $Λ$ with integer coefficients can be computed using Morse flow trees. If $n>1$ then this orientation scheme can be computed with an algorithm which uses intersections of oriented flow manifolds in $M$ together with combinatorial data coming from the trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1601_07346 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Orientations of Morse flow trees in Legendrian contact homology Karlsson, Cecilia Symplectic Geometry 57R17, 53D42 Let $Λ$ be a closed, connected, spin Legendrian submanifold of the 1-jet space of a smooth $n$-dimensional manifold. We give a coherent orientation scheme for the moduli space of rigid Morse flow trees of $Λ$, implying that the Legendrian contact homology of $Λ$ with integer coefficients can be computed using Morse flow trees. If $n>1$ then this orientation scheme can be computed with an algorithm which uses intersections of oriented flow manifolds in $M$ together with combinatorial data coming from the trees. |
| title | Orientations of Morse flow trees in Legendrian contact homology |
| topic | Symplectic Geometry 57R17, 53D42 |
| url | https://arxiv.org/abs/1601.07346 |