This document discusses Khovanov homology, which is a way to categorify the Jones polynomial of a link. It defines Khovanov homology and describes how to compute it for a simple example link. The key points are that Khovanov homology assigns a bigraded vector space to each link whose graded dimensions are link invariants, and that this can be computed by a sequence of split and merge operations on the link diagram.

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Let M be a 1-connected space with dim(π∗(M) ⊗ Q) < ∞. Assume
∃ F → M → B fibration satisfying
• F and B are 1-connected
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Then the loop coproduct on LM is trivial.
• A ⇒ B (Assume A. Then B.)
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( ) 2017 7 19 3 / 10
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2017-07-19 有理ホモトピー論とコンピュータ @wktkshn

30. • F and B are 1-connected
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( ) 2017 7 19 3 / 10

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