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Title: A cluster realization of $$U_q(\mathfrak {sl}_{\mathfrak {n}})$$ U q ( sl n ) from quantum character varieties
Award ID(s):
1703183
NSF-PAR ID:
10300160
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Inventiones mathematicae
Volume:
216
Issue:
3
ISSN:
0020-9910
Page Range / eLocation ID:
799 to 846
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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  1. Abstract

    We provide a sufficient condition for splitness of a link in terms of its reduced link homology with arbitrary field coefficients. The proof of sufficiency uses Dowlin's spectral sequence and sutured Floer homology with twisted coefficients. If is prime and the coefficient field is of characteristic , then the sufficient condition for splitness is also necessary. When , we recover Lipshitz–Sarkar's split link detection result for Khovanov homology with  coefficients.

     
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