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Combinatorial Knot Floer Homology and Double Branched Cover

Douroudian, Fatemeh | 2013

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 44401 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Razvan, Mohammad Reza
  7. Abstract:
  8. Using a Heegaard diagram for the pullback of a knot K ⊂ S3 in its cyclic double branched cover Σ2(K), we give a combinatorial proof for the invariance of the associated knot Floer homology over Z
  9. Keywords:
  10. Branched Covers ; Combinatorial Floer Homology ; Floer Homology ; Heegaard Diagram

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