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Singular open book structures from real mappings
Singular open book structures real mappings
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2010/11/12
We prove extensions of Milnor's theorem for germs with nonisolated singularity and use them to find new classes of genuine real analytic mappings $\psi$ with positive dimensional singular locus $\Sin...
Comparing open book and Heegaard decompositions of 3-manifolds
3-manifolds Heegaard decompositions
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2010/3/1
We study the maximal value of the Euler characteristic of the pages of all open book decompositions of closed orientable 3-manifolds. In particular, we describe some examples where the minimal genus H...
Partial open book decompositions and the contact class in sutured floer homology
Partial open book decomposition contact three-manifold with convex boundary sutured manifold sutured Floer homology EH-contact class
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2010/2/25
We demonstrate how to combinatorially calculate the EH-class of a compatible contact structure in the sutured Floer homology group of a balanced sutured three manifold which is associated to an abstra...