| Authors: | Mackaay, Marco Stošić, Marko Vaz, Pedro |
Title: | Sl(N)-link homology (N≥ 4) using foams and the Kapustin-Li formula | Journal: | Geometry and Topology | Volume: | 13 | Issue: | 2 | First page: | 1075 | Last page: | 1128 | Issue Date: | 1-Dec-2009 | Rank: | M21a | ISSN: | 1364-0380 | DOI: | 10.2140/gt.2009.13.1075 | Abstract: | We use foams to give a topological construction of a rational link homology categorifying the sl(N) link invariant, for N ≥ 4. To evaluate closed foams we use the Kapustin -Li formula adapted to foams by Khovanov and Rozansky [Adv. Theor. Math. Phys. 11 (2007) 233 259]. We show that for any link our homology is isomorphic to the Khovanov -Rozansky [Fund. Math. 199 (2008) 191] homology. |
Keywords: | Foams | Kapustin-Li | Khovanov-Rozansky | Link homology | mathfraksl(N) | Publisher: | Mathematical Sciences Publishers | Project: | Ministry of Science of Serbia, project 144032 |
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