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Signatures of surface bundles and Milnor Wood inequalities
Signatures of surface bundles Milnor Wood inequalities Geometric Topology
2012/6/14
Let E be a surface bundle over a surface. We use a variant of the Milnor Wood inequality to show that $|3\sigma(E)|\leq \chi(E)$.
Separating Curve Complex of the Genus Two Surface is Hyperbolic
Curve Complex the Genus Two Surface Hyperbolic Geometric Topology
2011/9/8
Abstract: A proof that the separating curve complex of the closed genus two surface has a quasi-distance formula and is delta hyperbolic using tools of Masur and Schleimer. This answers in the affirma...
A Turaev surface approach to Khovanov homology
Khovanov homology Turaev surface Geometric Topology
2011/9/5
Abstract: We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ribbon graph embedded on the Turaev surface of a link is isomorphic to the Khovanov homology...