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Monopole Floer homology and Legendrian knots
Monopole Floer homology Legendrian knots Symplectic Geometry
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2011/9/29
Abstract: We use monopole Floer homology for sutured manifolds to construct invariants of Legendrian knots in a contact 3-manifold. These invariants assign to a knot K in Y elements of the monopole kn...
K-homology and index theory on contact manifolds
K-homology and index theory Operator Algebras Differential Geometry
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2011/8/31
Abstract: Let X be a closed connected contact manifold. On X there is a naturally arising class of hypoelliptic (but not elliptic) operators which are Fredholm. In this paper we solve the index proble...
A spectral sequence for symplectic homology
spectral sequence symplectic homology
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2010/11/18
We construct a spectral sequence converging to symplectic homology of a Lefschetz fibration whose E1 page is related to Floer homology of the monodromy symplectomorphism and its iterates. We use this ...
On the local structure and the homology of CAT$(\kappa)$ spaces and euclidean buildings
local structure CAT$(\kappa)$ spaces euclidean buildings
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2010/12/7
We prove that every open subset of a euclidean building is a finite dimensional absolute neighborhood retract. This implies in particular that such a set has the homotopy type of a finite dimensional ...