The concordance invariant tau in link grid homology

Cavallo, Alberto (2018) The concordance invariant tau in link grid homology. ALGEBRAIC AND GEOMETRIC TOPOLOGY. ISSN 1472-2739

Preview

Text 1512.08778v2.pdf Download (409kB) | Preview

Abstract

We introduce a generalization of the Ozsváth-Szabó τ-invariant to links by studying a filtered version of link grid homology. We prove that this invariant remains unchanged under strong concordance and we show that it produces a lower bound for the slice genus of a link. We show that this bound is sharp for torus links and we also give an application to Legendrian link invariants in the standard contact 3-sphere.

Actions (login required)

Edit Item