Khovanov homology is an unknot-detector
WebWe prove that a knot is the unknot if and only if its reduced Khovanov cohomology has rank 1. The proof has two steps. We show first that there is a spectral sequence beginning … WebWe prove that a knot is the unknot if and only if its reduced Khovanov cohomology has rank 1. The proof has two steps. We show first that there is a spectral sequence …
Khovanov homology is an unknot-detector
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WebKhovanov homology is an unknot-detector P. B. Kronheimer and T. S. Mrowka Harvard University, Cambridge MA 02138 Massachusetts Institute of Technology, Cambridge MA 02139 Abstract. We prove that a knot is the unknot if and only if its reduced Khovanov cohomology has rank 1. The proof has two steps. WebKhovanov homology is an unknot-detector P. Kronheimer, T. Mrowka Published 24 May 2010 Mathematics Publications mathématiques de l'IHÉS We prove that a knot is the …
Web7.Peter B. Kronheimer and Tomasz S. Mrowka, Khovanov homology is an unknot-detector, Publications Math ematiques de l’IHES 113 (2011), no. 1, 97{208. 8.Eun Soo … Web1 jul. 2010 · More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes, and Ozsvath and Szabo developed Heegaard-Floer homology that lifts the Alexander polynomial. T.Mrowka and P.Kronheimer proved that Khovanov homology is an unknot detector.
WebKhovanov homology is an unknot-detector Article Full-text available May 2010 P. B. Kronheimer Tomasz S. Mrowka View Show abstract ... Then in particular S 3 +1 (K) is an … WebKhovanov homology is an unknot-detector P. B. Kronheimer and T. S. Mrowka Publ. Math. Inst. Hautes Études Sci. Poscript: Instanton Floer homology and the Alexander polynomial P. B. Kronheimer and T. S. Mrowka Algebraic and Geometric Topology: Poscript: Knots, sutures and excision ...
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WebA major milestone towards this goal was Khovanov’s celebrated categori˙cation of the Jones poly- nomial [Kho00]—now known as Khovanovhomology—which has since been rediscovered or reconstructed in many parts of mathematics and theoretical physics, see e.g. Stroppel [Str05, Str09], Gukov–Schwarz– Vafa [GSV05], Seidel–Smith [SS06] and … unlimited money mod euro truck simulator 2WebKronheimer and Mrowka (2010) proved Khovanov homology is an unknot detector using gauge theory. The conjecture is known to be true in many cases. COMPUTATIONS … unlimited money mod ets2 1.46WebDoes Khovanov homology detect the unknot? Matthew Hedden, Liam Watson We determine a wide class of knots, which includes unknotting number one knots, within … unlimited money on credit cardWebKhovanov homology and Floer homology theories in different settings has been studied a lot. The first such result is due to Ozsv´ath and ... as well as the unknot detection result in [KM11]. Khovanov also defined a sequence of invariants Khrn(K) of a knot K ⊂ S3 which categorify the (reduced) n-colored Jones polynomials in [Kho05]. In ... unlimited money nitro typeWebKHOVANOV HOMOLOGY IS AN UNKNOT-DETECTOR by P. B. KRONHEIMER and T. S. MROWKA ABSTRACT We prove that a knot is the unknot if and only if its reduced … recharge in china isd smsWebKhovanov homology is an unknot-detector Kronheimer, P. B. 1 ; Mrowka, T. S. 2 Publications Mathématiques de l'IHÉS, Tome 113 (2011), pp. 97-208. Résumé We prove … recharge india phone from usaWebAs a bigraded theory, Khovanov homology therefore detects each of T+ and T−. One should not expect similar results for other knots in general, since for example Khovanov homology does not distinguish the knots 1022 and 1035 from each other. Like Kronheimer and Mrowka’s unknot detection result, Theorem 1.3 relies on a relationship unlimited money mod gta 5