Matrix factorizations and link homology

• Autorzy: Mikhail Khovanov , Lev Rozansky
• Języki publikacji: EN

Abstrakty

EN

For each positive integer n the HOMFLYPT 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.

Kategorie tematyczne

• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 199
• Numer: 1
• Strony: 1-91

Daty

wydano

2008

Twórcy

autor

Mikhail Khovanov

• Department of Mathematics, Columbia University, New York, NY 10025, U.S.A.

autor

Lev Rozansky

• Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599, U.S.A.

Identyfikatory

DOI

10.4064/fm199-1-1