Geodesic
Khovanov–Rozansky homology for infinite multicolored braids
Canadian journal of mathematics, Tome 73 (2021) no. 5, pp. 1239-1277

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DOI

We define a limiting ${\mathfrak {sl}_N}$ Khovanov–Rozansky homology for semi-infinite positive multicolored braids. For a large class of such braids, we show that this limiting homology categorifies a highest-weight projector in the tensor product of fundamental representations determined by the coloring of the braid. This effectively completes the extension of Cautis’ similar result for infinite twist braids, begun in our earlier papers with Islambouli and Abel. We also present several similar results for other families of semi-infinite and bi-infinite multicolored braids.
DOI : 10.4153/S0008414X20000437
Mots-clés : Khovanov homology, colored Khovanov homology, Khovanov–Rozansky homology, colored Khovanov–Rozansky homology, colored link homology, categorified projector, infinite twist, infinite braids 
Willis, Michael. Khovanov–Rozansky homology for infinite multicolored braids. Canadian journal of mathematics, Tome 73 (2021) no. 5, pp. 1239-1277. doi: 10.4153/S0008414X20000437
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     title = {Khovanov{\textendash}Rozansky homology for infinite multicolored braids},
     journal = {Canadian journal of mathematics},
     pages = {1239--1277},
     year = {2021},
     volume = {73},
     number = {5},
     doi = {10.4153/S0008414X20000437},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000437/}
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