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Positive Legendrian...
Positive Legendrian Isotopies And Floer Theory
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- Chantraine, Baptiste (författare)
- Univ Nantes, F-44035 Nantes 1, France
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- Colin, Vincent (författare)
- Univ Nantes, F-44035 Nantes 1, France
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- Dimitroglou Rizell, Georgios, 1982- (författare)
- Uppsala universitet,Algebra och geometri
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(creator_code:org_t)
- 2019
- 2019
- Engelska.
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Ingår i: Annales de l'Institut Fourier. - : Cellule MathDoc/CEDRAM. - 0373-0956 .- 1777-5310. ; 69:4, s. 1679-1737
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Abstract
Ämnesord
Stäng
- Positive loops of Legendrian embeddings are examined from the point of view of Floer homology of Lagrangian cobordisms. This leads to new obstructions to the existence of a positive loop containing a given Legendrian, expressed in terms of the Legendrian contact homology of the Legendrian submanifold. As applications, old and new examples of orderable contact manifolds are obtained and discussed. We also show that contact manifolds filled by a Liouville domain with non-zero symplectic homology are strongly orderable in the sense of Liu.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- Legendrian
- Floer
- Positive isotopies
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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