Symplectic Topology and Floer Homology

2015 ◽  
Author(s):  
Yong-Geun Oh
Keyword(s):  
Floer Homology ◽  
Symplectic Topology

scholarly journals A brief survey of the spectral numbers in floer homology

2020 ◽  
pp. 12-12
Author(s):  
Jelena Katic ◽  
Darko Milinkovic ◽  
Jovana Nikolic
Keyword(s):  
Floer Homology ◽  
Point Of View ◽  
Symplectic Topology ◽  
Personal Taste

We give a brief introduction and a partial survey of some of the results about spectral numbers in symplectic topology that we are aware of. Without attempting to be comprehensive, we will select just some of the constructions and ideas that, according to our personal taste and our point of view, give a flavor of this fast developing theory.

EQUIVARIANT KNOT SIGNATURES AND FLOER HOMOLOGIES

2001 ◽  
Vol 10 (05) ◽  
pp. 687-701 ◽  
Author(s):  
WEIPING LI
Keyword(s):  
Trace Formula ◽  
Euler Number ◽  
Floer Homology ◽  
Point Of View ◽  
Representation Space ◽  
Symplectic Topology

In this paper, we give a description of the equivariant signature of knots from the symplectic topology point of view. For certain knots K in S3, we define a symplectic Floer homology for the representation space of the knot group π1 (S3\ K) into SU(2) with trace [Formula: see text] along all meridians (p is an odd prime and 0<k<p). The symplectic Floer homology of knots is a new invariant of knots and its Euler number is half of the equivariant signature of knots.

Periodic maps in symplectic topology

1989 ◽  
Vol 23 (4) ◽  
pp. 287-300 ◽  
Author(s):  
A. B. Givental’
Keyword(s):  
Symplectic Topology

scholarly journals COMBINATORIAL KNOT FLOER HOMOLOGY AND DOUBLE BRANCHED COVERS

2013 ◽  
Vol 22 (06) ◽  
pp. 1350014
Author(s):  
FATEMEH DOUROUDIAN
Keyword(s):  
Floer Homology ◽  
Combinatorial Proof ◽  
Branched Covers ◽  
Knot Floer Homology ◽  
Branched Cover ◽  
Heegaard Diagram

Using a Heegaard diagram for the pullback of a knot K ⊂ S3 in its double branched cover Σ2(K), we give a combinatorial proof for the invariance of the associated knot Floer homology over ℤ.

scholarly journals Heegaard Floer homology as morphism spaces

10.4171/qt/25 ◽  
2011 ◽  
pp. 381-449 ◽  
Author(s):  
Robert Lipshitz ◽  
Peter Ozsváth ◽  
Dylan Thurston
Keyword(s):  
Floer Homology ◽  
Heegaard Floer Homology ◽  
Heegaard Floer

scholarly journals The sutured Floer homology polytope

2010 ◽  
Vol 14 (3) ◽  
pp. 1303-1354 ◽  
Author(s):  
András Juhász
Keyword(s):  
Floer Homology
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