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4 papers · 2 filters
Homologically thin, non-quasi-alternating links
Joshua Greene
We exhibit the first examples of links which are homologically thin but not quasi-alternating. To show that they are not quasi-alternating, we argue that none of their branched dou…
Odd Khovanov homology is mutation invariant
Jonathan Bloom
We define a link homology theory that is readily seen to be both isomorphic to reduced odd Khovanov homology and fully determined by data impervious to Conway mutation. This gives…
A dilogarithmic formula for the Cheeger-Chern-Simons class
Johan Dupont, Christian Zickert
We present a simplification of Neumann's formula for the universal Cheeger-Chern-Simons class of the second Chern polynomial. Our approach is completely algebraic, and the final fo…
A higher-order genus invariant and knot Floer homology
Peter D. Horn
It is known that knot Floer homology detects the genus and Alexander polynomial of a knot. We investigate whether knot Floer homology of detects more structure of minimal genus…