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Search results for: SEIBERG–WITTEN–FLOER HOMOLOGY
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Seiberg-Witten invariants the topological degree and wall crossing formula
PublicationFollowing S. Bauer and M. Furuta we investigate finite dimensional approximations of a monopole map in the case b 1 = 0. We define a certain topological degree which is exactly equal to the Seiberg-Witten invariant. Using homotopy invariance of the topological degree a simple proof of the wall crossing formula is derived.
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Analysis of blood vessel topology by cubical homology
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Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces
PublicationIn this paper we introduce a new compactness condition — Property-(C) — for flows in (not necessary locally compact) metric spaces. For such flows a Conley type theory can be developed. For example (regular) index pairs always exist for Property-(C) flows and a Conley index can be defined. An important class of flows satisfying the this compactness condition are LS-flows. We apply E-cohomology to index pairs of LS-flows and obtain...
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Computation of cubical homology, cohomology, and (co)homological operations via chain contraction
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Influence of ice concentration and floe-size distribution on cluster formation in sea-ice floes
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Wave‐Induced Surge Motion and Collisions of Sea Ice Floes: Finite‐Floe‐Size Effects
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Inducing a map on homology from a correspondence
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Homology algorithm based on acyclic subspace
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WRITTEN COMMUNICATION
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Graph Approach to the Computation of the Homology of Continuous Maps
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