Matrix factorizations and link homology

Mikhail Khovanov, and Lev Rozansky. "Matrix factorizations and link homology." Fundamenta Mathematicae 199.1 (2008): 1-91. <http://eudml.org/doc/282614>.

@article{MikhailKhovanov2008,
abstract = {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.},
author = {Mikhail Khovanov, Lev Rozansky},
journal = {Fundamenta Mathematicae},
keywords = {link homology; HOMFLYPT polynomial; matrix factorization},
language = {eng},
number = {1},
pages = {1-91},
title = {Matrix factorizations and link homology},
url = {http://eudml.org/doc/282614},
volume = {199},
year = {2008},
}

TY - JOUR
AU - Mikhail Khovanov
AU - Lev Rozansky
TI - Matrix factorizations and link homology
JO - Fundamenta Mathematicae
PY - 2008
VL - 199
IS - 1
SP - 1
EP - 91
AB - 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.
LA - eng
KW - link homology; HOMFLYPT polynomial; matrix factorization
UR - http://eudml.org/doc/282614
ER -