Author: Christopher L Douglas
Publisher: American Mathematical Soc.
ISBN: 1470437716
Category : Education
Languages : en
Pages : 111
Book Description
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
Cornered Heegaard Floer Homology
Author: Christopher L Douglas
Publisher: American Mathematical Soc.
ISBN: 1470437716
Category : Education
Languages : en
Pages : 111
Book Description
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
Publisher: American Mathematical Soc.
ISBN: 1470437716
Category : Education
Languages : en
Pages : 111
Book Description
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
Bordered Heegaard Floer Homology
Author: Robert Lipshitz
Publisher: American Mathematical Soc.
ISBN: 1470428881
Category : Mathematics
Languages : en
Pages : 294
Book Description
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Publisher: American Mathematical Soc.
ISBN: 1470428881
Category : Mathematics
Languages : en
Pages : 294
Book Description
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
An Introduction to Heegaard Floer Homology
Author: İlknur Eğilmez
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 274
Book Description
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 274
Book Description
Heegaard Floer Homology, Contact Structures, and Open Books
Author: John Arthur Baldwin
Publisher:
ISBN:
Category :
Languages : en
Pages : 214
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 214
Book Description
Heegaard Floer Homology and Symmetries of Knots and Links
Author: Sridhar Rajagopalan
Publisher:
ISBN:
Category : Differential topology
Languages : en
Pages : 80
Book Description
Publisher:
ISBN:
Category : Differential topology
Languages : en
Pages : 80
Book Description
On Heegaard Floer Homology of Three-manifolds
Author: Raif Rustamov
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
Book Description
Applications of Heegaard Floer Homology to Knot and Link Concordance
Author: Adam Simon Levine
Publisher:
ISBN:
Category :
Languages : en
Pages : 264
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 264
Book Description
Heegaard Floer Homology and L-space Knots
Author: Faramarz Vafaee
Publisher:
ISBN: 9781321119053
Category : Electronic dissertations
Languages : en
Pages : 65
Book Description
Publisher:
ISBN: 9781321119053
Category : Electronic dissertations
Languages : en
Pages : 65
Book Description
Heegaard-Floer Homology and D-Based Links in Three Manifolds
Author: Lawrence Pierce Roberts
Publisher:
ISBN:
Category :
Languages : en
Pages : 484
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 484
Book Description
Dehn Twists and Heegaard Floer Homology
Author: Bijan Sahamie
Publisher:
ISBN:
Category :
Languages : en
Pages : 151
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 151
Book Description