I am interested in knot theory and low dimensional topology. I would like to start studying Khovanov homology and Heegaard-Floer homology.
I (partially) read the original paper of Khovanov and then watched an online lecture on Khovanov homology. I noticed that the lecture deals Khovanov homology more categorically. I think after the original work of Khovanov, people refined and generalized the definition or method of Khovanov homology.
So I would like to know how people deal Khovanov homology recently. Is there a standard textbook for graduate student on Khovanov homology?
(Also, I would like to learn Heegaar-Floer homology too. So if there is a standard text book fot this, please let me know.)