PBWD bases and shuffle algebra realizations for $$U_{\varvec{v}}(L\mathfrak {sl}_n), U_{{\varvec{v}}_1,{\varvec{v}}_2}(L\mathfrak {sl}_n), U_{\varvec{v}}(L\mathfrak {sl}(m|n))$$ and their integral forms
- Award ID(s):
- 2037602
- NSF-PAR ID:
- 10327924
- Date Published:
- Journal Name:
- Selecta Mathematica
- Volume:
- 27
- Issue:
- 3
- ISSN:
- 1022-1824
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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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.