Search results for: SEIBERG–WITTEN–FLOER HOMOLOGY

• Seiberg-Witten invariants the topological degree and wall crossing formula

  Publication

  • M. Starostka

  - Central European Journal of Mathematics - Year 2012

  Following 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

  Publication

  • M. Niethammer
  • A. Stein
  • W. Kalies
  • P. Pilarczyk
  • K. Mischaikow
  • A. Tannenbaum

  - Year 2002

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• Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces

  Publication

  • M. Izydorek
  • T. O. Rot
  • M. Starostka
  • M. Styborski
  • R. C. Vandervorst

  - JOURNAL OF DIFFERENTIAL EQUATIONS - Year 2017

  In 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

  Publication

  • P. Pilarczyk
  • P. Real

  - ADVANCES IN COMPUTATIONAL MATHEMATICS - Year 2015

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• Influence of ice concentration and floe-size distribution on cluster formation in sea-ice floes

  Publication

  • A. Herman

  - Open Physics - Year 2012

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• Wave‐Induced Surge Motion and Collisions of Sea Ice Floes: Finite‐Floe‐Size Effects

  Publication

  • A. Herman
  • A. Herman

  - JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS - Year 2018

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• Inducing a map on homology from a correspondence

  Publication

  • S. Harker
  • H. Kokubu
  • K. Mischaikow
  • P. Pilarczyk

  - PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY - Year 2015

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• Homology algorithm based on acyclic subspace

  Publication

  • M. Mrozek
  • P. Pilarczyk
  • N. Żelazna

  - COMPUTERS & MATHEMATICS WITH APPLICATIONS - Year 2008

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• WRITTEN COMMUNICATION

  Journals

  ISSN: 0741-0883 , eISSN: 1552-8472

• Graph Approach to the Computation of the Homology of Continuous Maps

  Publication

  • K. Mischaikow
  • M. Mrozek
  • P. Pilarczyk

  - FOUNDATIONS OF COMPUTATIONAL MATHEMATICS - Year 2005

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