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Odd Khovanov homology for hyperplane arrangements

Dancso, Zsuzsanna; Licata, Anthony

Description

We define several homology theories for central hyperplane arrangements, categorifying well-known polynomial invariants including the characteristic polynomial, Poincaré polynomial, and Tutte polynomial. We consider basic algebraic properties of such chain complexes, including long-exact sequences associated to deletion-restriction triples and dg-algebra structures. We also consider signed hyperplane arrangements, and generalize the odd Khovanov homology of Ozsváth-Rasmussen-Szabó from link...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/98473
Source: Journal of Algebra
DOI: 10.1016/j.jalgebra.2015.04.012

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