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Bulletin de la Société mathématique de France
Article
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arXiv.org e-Print Archive
Preprint . 1999
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Article . 2000
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Bulletin de la Société mathématique de France
Article . 2000 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 1999
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Graded lagrangian submanifolds

Graded Lagrangian submanifolds
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2000Embargo end date: 01 Jan 1999Publisher:Societe Mathematique de FranceJournal:Bulletin de la Société mathématique de France, volume 128, pages 103-149 (issn: 0037-9484, eissn: 2102-622X, Copyright policy )
Authors: Seidel, P.;

doi: 10.24033/bsmf.2365 , 10.48550/arxiv.math/9903049

arXiv: math/9903049

handle: 21.11116/0000-0004-3646-1

Graded lagrangian submanifolds

Abstract

In the usual setup, the grading on Floer homology is relative: it is unique only up to adding a constant. "Graded Lagrangian submanifolds" are Lagrangian submanifolds with a bit of extra structure, which fixes the ambiguity in the grading. The idea is originally due to Kontsevich. This paper contains an exposition of the theory. Several applications are given, amongst them: (1) topological restrictions on Lagrangian submanifolds of projective space, (2) the existence of "symplectically knotted" Lagrangian spheres on a K3 surface, (3) a result about the symplectic monodromy of weighted homogeneous hypersurface singularities. Revised version: minor modifications, journal reference added.

LaTex2e, 32 pages, one eps figure

Related Organizations
Keywords

Floer homology, Embeddings in differential topology, Lagrangian submanifolds; Maslov index, Maslov index, generalized Dehn twists, Lagrangian submanifold, Mathematics - Symplectic Geometry, Symplectic aspects of Floer homology and cohomology, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Symplectic Geometry (math.SG)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
147
Top 1%
Top 1%
Top 10%
Green
bronze