Quantum link homology via trace functor I
Sign Up to like & getrecommendations! Published in 2019 at "Inventiones mathematicae"
DOI: 10.1007/s00222-018-0830-0
Abstract: Motivated by topology, we develop a general theory of traces and shadows for an endobicategory, which is a pair: bicategory and endobifunctor . For a graded linear bicategory and a fixed invertible parameter q, we… read more here.
Keywords: trace; quantum annular; link homology; homology ... See more keywords
Simplicial homotopy theory, link homology and Khovanov homology
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Knot Theory and Its Ramifications"
DOI: 10.1142/s021821651841002x
Abstract: This paper shows how, in principle, simplicial methods, including the well-known Dold–Kan construction can be applied to convert link homology theories into homotopy theories. The paper studies particularly the case of Khovanov homology and shows… read more here.
Keywords: homology khovanov; link homology; khovanov; homology ... See more keywords