- journal article metadata
European Mathematical Society Publishing House
2018-02-04 23:30:02
Quantum Topology
Quantum Topol.
QT
1663-487X
1664-073X
General
10.4171/QT
http://www.ems-ph.org/doi/10.4171/QT
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
9
2018
1
Two-fold quasi-alternating links, Khovanov homology and instanton homology
Christopher
Scaduto
State University of New York, Stony Brook, USA
Matthew
Stoffregen
University of California, Los Angeles, USA
Quasi-alternating, instanton homology, Khovanov homology, knots
We introduce a class of links strictly containing quasi-alternating links for which mod 2 reduced Khovanov homology is always thin. We compute the framed instanton homology for double branched covers of such links. Aligning certain dotted markings on a link with bundle data over the branched cover, we also provide many computations of framed instanton homology in the presence of a non-trivial real 3-plane bundle. We discuss evidence for a spectral sequence from the twisted Khovanov homology of a link with mod 2 coe fficients to the framed instanton homology of the double branched cover. We also discuss the relevant mod 4 gradings.
Manifolds and cell complexes
Differential geometry
167
205
10.4171/QT/106
http://www.ems-ph.org/doi/10.4171/QT/106
2
1
2018