A computation in Khovanov-Rozansky homology

Daniel Krasner

Fundamenta Mathematicae (2009)

  • Volume: 203, Issue: 1, page 75-95
  • ISSN: 0016-2736

Abstract

top
We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a "local" algorithm for computing Khovanov-Rozansky homology and compare our results with those for the "foam" version of sl₃-homology.

How to cite

top

Daniel Krasner. "A computation in Khovanov-Rozansky homology." Fundamenta Mathematicae 203.1 (2009): 75-95. <http://eudml.org/doc/282720>.

@article{DanielKrasner2009,
abstract = {We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a "local" algorithm for computing Khovanov-Rozansky homology and compare our results with those for the "foam" version of sl₃-homology.},
author = {Daniel Krasner},
journal = {Fundamenta Mathematicae},
keywords = {tangle homology; Khovanov–Rozansky homology; divide and conquer algorithm},
language = {eng},
number = {1},
pages = {75-95},
title = {A computation in Khovanov-Rozansky homology},
url = {http://eudml.org/doc/282720},
volume = {203},
year = {2009},
}

TY - JOUR
AU - Daniel Krasner
TI - A computation in Khovanov-Rozansky homology
JO - Fundamenta Mathematicae
PY - 2009
VL - 203
IS - 1
SP - 75
EP - 95
AB - We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a "local" algorithm for computing Khovanov-Rozansky homology and compare our results with those for the "foam" version of sl₃-homology.
LA - eng
KW - tangle homology; Khovanov–Rozansky homology; divide and conquer algorithm
UR - http://eudml.org/doc/282720
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.