Matrix factorizations and link homology
WebFor each positive integer n the HOMFLY polynomial of links specializes to a one-variable polynomial that can be recovered from the representation theory of quantum sl(n). For each such n we build a doubly-graded homology theory of links with this polynomial as the Euler characteristic. The core of our construction utilizes the theory of matrix factorizations, … Web2 nov. 2024 · MSC Classification Codes. 00-xx: General. 00-01: Instructional exposition (textbooks, tutorial papers, etc.) 00-02: Research exposition (monographs, survey articles ...
Matrix factorizations and link homology
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WebFor each such n we build a doubly-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 linear algebra description of maximal Cohen-Macaulay modules on isolated hypersurface singularities. ... WebOn the computation of torus link homology Part of: Low-dimensional topology Published online by Cambridge University Press: 23 November 2024 Ben Elias and Matthew Hogancamp Show author details Ben Elias Affiliation: Department of Mathematics, Fenton Hall, University of Oregon, Eugene, OR 97403, USA email [email protected] Matthew …
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Webof the Khovanov-Rozansky link homology of Lis to associate to each smoothing of all n crossings of La matrix factorization. Having done this, all these 2n matrix factorizations are nally patched together to a complex of matrix factorizations, whose homotopy type is the value of Lunder Khovanov-Rozansky homology. We will not consider this patching WebA polyadic set over a category C is a presheaf over C satisfying an appropriate amalgamation property. Polyadic sets are a discrete variant of Joyal's polyadic spaces, which are dual to Lawvere's Boolean hyperdoctrines.
WebUsing tools of complex geometry, we construct explicit proper Calabi–Yau structures, that is, non-degenerate cyclic cocycles on differential graded categories of matrix factorizations of regular functions with isolated critical points. The formulas involve the Kapustin–Li trace and its higher corrections.
WebFor each such n we build a doubly-graded homology theory of links with this polynomial as the Euler characteristic. The core of our construction utilizes the theory of matrix … tecamp puma 900Web数学大讲堂. 1970/01/01-1970/01/01. 会议概要. 南科大讲堂：素数间的小间距. Critical angles of approximation methods for boundary integral equations on contours with corners. Mathematics of Flames. On Ensemble and Particle Filters for Large-Scale Data Assimilation and Inverse Problems. Supercomputer Applications with Focus on ... tecamp puma vs black jagWebUsing 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. tecamp puma 350WebWe 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 … tecam praha s.r.oWebJump to a Year2024202420242024202420242024. Skip the main content. University concerning Nebraska–Lincoln. Visit Visit. Visit the University of Nebraska–Lincoln tecam srlWebMatrix factorizations and link homology II 1389 We have d2 Dax 1 ax 2 and view Cc as an object of the homotopy category of matrix factorizations with the potential a.x 1 x … tecam san quirinoWebUsing 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 … tecan 10612501