Matrix factorizations and link homology
Webdoubly-graded homology theory of links with this polynomial as the Euler characteristic. The core of our construction utilizes the theory of matrix factorizations, which provide a … Web26 feb. 2024 · Alexander I Efimov, Cyclic Homology of Categories of Matrix Factorizations, International Mathematics Research Notices, Volume 2024, Issue 12, June 2024, ... Cyclic Homology of Categories of Matrix Factorizations - …
Matrix factorizations and link homology
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Web13 jan. 2024 · The homology is space of global sections of a particular sheaf on the Hilbert scheme of points on the plane. Our construction relies on existence on the … WebWe show that this 3parameter link homology, when taken with complex coefficients, can be divided into 3 isomorphism classes. The first class is the one to which Khovanov's original sl3-link homology belongs, the second is the one studied by Gornik in the context of matrix factorizations and the last one is new.
WebUsing the diagrammatic calculus for Soergel bimodules, developed by B. Elias and M. Khovanov, as well as Rasmussen’s spectral sequence, we construct an integral version of HOMFLY-PT and -link homology. WebA note on Khovanov–Rozansky sl2-homology and ordinary Khovanov homology Journal of Knot Theory and Its Ramifications . 10.1142/s0218216514500576
WebWe study this for ``matrix factorization'' -- the common task of learning metric embeddings of entities such as queries, videos, or words from example pairwise associations. We construct arrangements that preserve the weighted Jaccard similarities of rows and columns and experimentally observe training acceleration of 3\%-37\% on synthetic and …
WebMatrix factorizations and link homology. M Khovanov, L Rozansky. arXiv preprint math/0401268, 2004. 615: 2004: Matrix factorizations and link homology II. M Khovanov, L Rozansky. Geometry & Topology 12 (3), 1387-1425, 2008. 402: 2008: Quivers, Floer cohomology, and braid group actions. garlic fermented in honey botulismWebDownload scientific diagram A matrix factorization from publication: Matrix factorizations and link homology For each positive integer n the HOMFLY polynomial of links … garlic fest chehalis waWebUntitled - Free download as PDF File (.pdf), Text File (.txt) or read online for free. blackpool abingdon streetWebPhD candidates: You are welcome and encouraged to deposit your dissertation here, but be aware that 1) items is optional, not required (the ProQuest deposit is required); furthermore 2) it will be available to everyone on the Internet; there is no embargo for thesis in the UNL DigitalCommons. garlic farm wiWebWe conjecture the existence of four independent gradings in the colored HOMFLY homology. We describe these gradings explicitly for the rectangular colored homology of torus knots and make qualitative predictions of various interesting structures and symmetries in the colored homology of general knots. We also give a simple representation … garlic fest 2023WebKHOVANOV-ROZANSKY HOMOLOGY VIA A CANOPOLIS FORMALISM BEN STER Abstract. In this paper, we describe a canopolis (i.e. categorified planar algebra) formalism for Khovanov and Rozansky’s link homology theory. We show how this allows us to organize simplifications in the matrix factorizations appearing in their theory. In … garlic fest in wellingtonWebmatrix factorization link homology link specializes doubly-graded homology theory positive integer quantum sl representation theory one-variable polynomial linear algebra … garlic festival 2022