Knot floer homotopy

Author: cfhj

August undefined, 2024

Web3.A knot Floer stable homotopy type (with S. Sarkar), preprint (2024), arXiv:2108.13566 ... 23.An introduction to knot Floer homology, in Physics and mathematics of link homology, …

Bordered Floer homology and contact structures Forum of …

Webproved that if a hyperbolic knot K⊂ S3 has the same knot Floer homology as the torus knot T(5,2), then the monodromy of Kis freely isotopic to a pseudo-Anosov map without ﬁxed … WebJan 15, 2009 · Given a knot presented in a grid diagram, we associate to it a partially ordered set with certain properties, and then construct a CW complex whose cells correspond to … haglöfs rugged mountain 75

On the Knot Floer Homology of Twisted Torus Knots - Duke …

WebNov 1, 2011 · Let K be a rationally null-homologous knot in a three-manifold Y.We construct a version of knot Floer homology in this context, including a description of the Floer homology of a three-manifold obtained as Morse surgery on the knot K.As an application, we express the Heegaard Floer homology of rational surgeries on Y along a null-homologous … Web3.A knot Floer stable homotopy type (with S. Sarkar), preprint (2024), arXiv:2108.13566 ... 23.An introduction to knot Floer homology, in Physics and mathematics of link homology, Contemp. Math. 680, AMS (2016), 99–135 24.Cornered Heegaard Floer homology (with C. Douglas and R. Lipshitz), Memoirs of the American WebFeb 15, 2024 · Given a grid diagram for a knot or link K in the three-sphere, we construct a spectrum whose homology is the knot Floer homology of K. We conjecture that the … branch interval plumbing

MSRI [HYBRID WORKSHOP] Floer Homotopical Methods …

Knot Floer homology and rational surgeries - Project Euclid

WebThis is a companion for the papers Bordered knot algebras with matchings and Algebras with matchings and knot Floer homology by Peter Ozsváth and Zoltán Szabó The program uses Planar Diagrams for knots. For example Trefoil = PD[X[4,2,5,1], X[2,6,3,5], X[6,4,1,3]] The X and the extra brackets are optional, the program will look for the PD start and then read … Web(Manolescu-Sarkar) A knot Floer stable homotopy type. ArXiv Given a grid diagram for a knot or link K in S3, we construct a spectrum whose homology is the knot Floer homology … branch into musicWebOct 20, 2024 · The notion of homotopy ribbon concordance is a natural homotopy group analogue of the notion of smooth ribbon concordance initially introduced by Gordon [] for knots: we say the link J is smoothly ribbon concordant to the link L, written $J \ge _{{\text {sm}}} L$, if there is a smooth concordance from J to L such that the restriction of the … haglofs sarna mimic jacket review

"Webpart is called knot Floer homology, and was independently constructed by Ozsv´ath-Szab´o and Rasmussen [OS04a, Ras03]. ... work. In [MP21], the author and Piccirillo produced homotopy 4-spheres from pairs of knots with the same 0-surgery. By computer experimentation, they found 5 examples of topologically slice knots such that, if any of … " - Knot floer homotopy

Knot floer homotopy

MODULE AND FILTERED KNOT HOMOLOGY THEORIES

WebOn the one hand, singular instanton Floer homology is more directly related to the fundamental group of the knot complement. For example, this Floer homology can be used to show that the knot group of any non-trivial knot admits a non-abelian representation into the Lie group SUp2q[KM04,KM10b]. On the other hand, knot Floer homology currently WebWe use Heegaard Floer homology to define an invariant of homology cobordism. This invariant is isomorphic to a summand of the reduced Heegaard Floer homology of a rational homology sphere equipped with a spin structure and is analogous to Stoffregen’s connected Seiberg–Witten Floer homology.

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WebOct 27, 2024 · The main goal of the project is the following: To every knot, three-dimensional shape, or symplectic shape, one should associate a different object, called a Floer space or a Floer homotopy type, whose (ordinary) homology is the Floer homology of the initial shape. This has been accomplished so far in a limited number of cases. WebOur goal is to review some recent applications of Heegaard Floer theory to ho- mology cobordism and knot concordance, and to discuss the power and limitations of these tools to address major open questions in the eld. 1.1. Homology cobordism. Two closed, oriented 3-manifolds Y 0;Y

WebApr 13, 2024 · The involutiv e knot Floer homology package associates to a knot K a well-deﬁned element in I U. ... up to homotopy due to the lack of naturalit y in bordered Floer homology, it is still a ... Webthe filtered chain homotopy type of CFK tells you about the Heegaard Floer homology of various surgeries on K; the highest a for which HFK * (S 3 ,K,a) is nonzero is the Seifert …

WebKnot Floer homology is a re nement of Heegaard Floer homology for knots embedded in 3- manifolds, introduced by Ozsv ath and Szab o [OS04a] and independently by Rasmussen [Ras03]. Link Floer homology is a generalization of knot Floer homology for links in 3-manifolds, developed by Ozsv ath and Szab o [OS08]. WebWe introduce a contact invariant in the bordered sutured Heegaard Floer homology of a three-manifold with boundary. The input for the invariant is a contact manifold $(M, \xi , \mathcal {F})$ whose convex boundary is equipped with a signed singular foliation $\mathcal {F}$ closely related to the characteristic foliation. Such a manifold admits a …

WebNov 1, 2011 · As an application, we express the Heegaard Floer homology of rational surgeries on Y along a null-homologous knot K in terms of the filtered homotopy type of …

WebJul 9, 2007 · An infinite family of knots with isomorphic knot Heegaard Floer homology with a nontrivial genus two mutant which shares the same total dimension in both knot Floer … branch intoWebThis project began in the program entitled \Floer homotopy theory" held at MSRI/SL-Math on Aug-Dec in 2024. Thus this work was supported by the National Science Foundation under Grant No. DMS-1928930. The authors ... [86] , Knot Floer homology and integer surgeries, Algebraic & Geometric Topology 8 (2008), no. 1, 101{153. haglöfs softshell hose herrenWebholomorphic disks and knot invariants peter ozsvath and zolt´ an szab´ o´ ... haglöfs rugged mountain pantWebAug 30, 2024 · A knot Floer stable homotopy type Authors: Ciprian Manolescu Stanford University Sucharit Sarkar Preprints and early-stage research may not have been peer reviewed yet. Abstract Given a grid... branch in the parkWebHeegaard Floer homology is an invariant of 3-manifolds, and knots and links within them, introduced by P. Oszváth and Z. Szabó in the early 2000s. Because of its relative … haglöfs shorts herrenWebWitten Floer theory [13, 11] and knot Floer homology [14]. Theorem 1.0.2 ﬁts in with this wider research program. The work of Manolescu and Sarkar [14] in on creating a … branch into much smaller vesselsWebAug 30, 2024 · A knot Floer stable homotopy type Authors: Ciprian Manolescu Stanford University Sucharit Sarkar Preprints and early-stage research may not have been peer … branch into smaller vessels called arterioles