TITLE: An introduction to Khovanov homology, Heegaard-Floer homology
QUESTION [13 upvotes]: 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.)

REPLY [3 votes]: A very good, more recent introduction to Khovanov homologies was written by Dolotin and Morozov.

Introduction to Khovanov Homologies. I. Unreduced Jones superpolynomial.
Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials. 
Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants.