TY - JOUR
T1 - A Formula for Khovanov Type Link Homology of Pretzel Knots
AU - Zhang , Meili
AU - Lei , Fengchun
AU - Li , Fengling
AU - Wang , Dongxu
JO - Communications in Mathematical Research 
VL - 3
SP - 198
EP - 206
PY - 2021
DA - 2021/05
SN - 32
DO - http://doi.org/10.13447/j.1674-5647.2016.03.02
UR - https://global-sci.org/intro/article_detail/cmr/18898.html
KW - pretzel knot, Khovanov type homology, Frobenius algebra, TQFT.
AB - <p style="text-align: justify;">Khovanov type homology is a generalization of Khovanov homology.
The main result of this paper is to give a recursive formula for Khovanov type
homology of pretzel knots $P(−n, −m, m)$. The computations reveal that the
rank of the homology of pretzel knots is an invariant of $n$. The proof is based
on a &quot;shortcut&quot; and two lemmas that recursively reduce the computational
complexity of Khovanov type homology.</p>