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JournalISSN: 0016-2736

Fundamenta Mathematicae 

Polish Academy of Sciences
About: Fundamenta Mathematicae is an academic journal published by Polish Academy of Sciences. The journal publishes majorly in the area(s): Countable set & Metric space. It has an ISSN identifier of 0016-2736. Over the lifetime, 4616 publications have been published receiving 83475 citations. The journal is also known as: Fund. Math..


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1,191 citations

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TL;DR: Khovanov et al. as mentioned in this paper constructed a doubly-graded homology theory of links with the Euler characteristic, which is based on matrix factorizations, which provide a linear algebra description of maximal Cohen-Macaulay modules on isolated hypersurface singularities.
Abstract: Author(s): Khovanov, Mikhail; Rozansky, Lev | Abstract: For 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, which provide a linear algebra description of maximal Cohen-Macaulay modules on isolated hypersurface singularities.

715 citations

Performance
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No. of papers from the Journal in previous years
YearPapers
202324
202254
202137
202040
201953
201837