Download or read book Cornered Heegaard Floer Homology written by Christopher L Douglas and published by American Mathematical Soc.. This book was released on 2020-02-13 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Bordered Heegaard Floer Homology written by Robert Lipshitz and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Heegaard Floer Homology written by İlknur Eğilmez and published by . This book was released on 2012 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Heegaard Floer Homology of Three manifolds written by Raif Rustamov and published by . This book was released on 2005 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Heegaard Floer Homology and Symmetries of Knots and Links written by Sridhar Rajagopalan and published by . This book was released on 2007 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications of Heegaard Floer Homology to Knot and Link Concordance written by Adam Simon Levine and published by . This book was released on 2010 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Heegaard Floer Homology of Certain 3 manifolds and Cobordism Invariants written by Daniel Selahi Durusoy and published by . This book was released on 2008 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Heegaard Floer Homology and L space Knots written by Faramarz Vafaee and published by . This book was released on 2014 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Heegaard Floer Homology and D Based Links in Three Manifolds written by Lawrence Pierce Roberts and published by . This book was released on 2004 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Donaldson s Theorem Heegaard Floer Homology and Results on Knots written by Joshua Evan Greene and published by . This book was released on 2009 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several interesting questions in knot theory reduce to the problem of determining whether a 3-manifold naturally associated to a knot can bound a specific type of 4-manifold. In this setting, two obstructions have come to bear quite strongly: one stems from a celebrated result of Simon Donaldson, and the other from a collection of numerical invariants defined by Peter Ozsvath and Zoltan Szabo in their Heegaard Floer homology theory. In this thesis, we describe a useful way to combine these two in order to obtain a finer obstruction of a lattice-theoretic nature, and apply it to several concrete problems. Specifically, we use it to give obstructions to a knot (1) possessing a lens space surgery; (2) being slice; (3) having unknotting number one; and (4) being quasi-alternating. In each case, we give specific applications: (1) we give an upper bound on the genus of a knot admitting a lens space surgery in terms of the surgery coefficient; (2) we determine the concordance orders of the odd 3-stranded pretzel knots; (3) we determine the alternating 3-braid knots with unknotting number one; and (4) we give the first examples of homologically thin links that are not quasi-alternating, and determine which pretzel links are quasi-alternating.
Download or read book An Elementary Approach to Some Aspects of Heegaard Floer Homology written by Huygens Christian Ravelomanana and published by . This book was released on 2010 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Localization for THH ku and the Topological Hochschild and Cyclic Homology of Waldhausen Categories written by Andrew J. Blumberg and published by American Mathematical Soc.. This book was released on 2020-09-28 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors resolve the longstanding confusion about localization sequences in $THH$ and $TC$ and establish a specialized devissage theorem.
Download or read book Bordered Heegaard Floer Homology and Four manifolds with Corners written by Tova Helen Fell Brown and published by . This book was released on 2011 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heegaard Floer hat invariant is defined on closed 3-manifolds, with a related invariant for 4-dimensional cobordisms, forming a 3+1 topological quantum field theory. Bordered Heegaard Floer homology generalizes this invariant to parametrized Riemann surfaces and to cobordisms between them, yielding a 2+1 TQFT. We discuss an approach to synthesizing these two theories to form a 2+1+1 TQFT, by defining Heegaard Floer invariants for Lefschetz fibrations with corners.
Download or read book Computations of Heegaard Floer Homology written by Thomas David Peters and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Survey on Heegaard Floer Homology written by Chun Kit Anthony Suen and published by . This book was released on 2007 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Degree Theory of Immersed Hypersurfaces written by Harold Rosenberg and published by American Mathematical Soc.. This book was released on 2020-09-28 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function.
Download or read book Rigid Character Groups Lubin Tate Theory and Modules written by Laurent Berger and published by American Mathematical Soc.. This book was released on 2020-04-03 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of the p-adic local Langlands correspondence for GL2(Qp) uses in an essential way Fontaine's theory of cyclotomic (φ,Γ)-modules. Here cyclotomic means that Γ=Gal(Qp(μp∞)/Qp) is the Galois group of the cyclotomic extension of Qp. In order to generalize the p-adic local Langlands correspondence to GL2(L), where L is a finite extension of Qp, it seems necessary to have at our disposal a theory of Lubin-Tate (φ,Γ)-modules. Such a generalization has been carried out, to some extent, by working over the p-adic open unit disk, endowed with the action of the endomorphisms of a Lubin-Tate group. The main idea of this article is to carry out a Lubin-Tate generalization of the theory of cyclotomic (φ,Γ)-modules in a different fashion. Instead of the p-adic open unit disk, the authors work over a character variety that parameterizes the locally L-analytic characters on oL. They study (φ,Γ)-modules in this setting and relate some of them to what was known previously.
