On the signature of a positive braid

2023/08/04 by Greene, Joshua Evan, Liechti, Livio
#57K10 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2308.02275

Abstract

We show that the signature of a positive braid link is bounded from below by one-quarter of its first Betti number. This equates to one-half of the optimal bound conjectured by Feller, who previously provided a bound of one-eighth.

Related

• Signature spectrum of positive braids
• Positive braids of maximal signature
• Signature and crossing number of links
• Resolution depth of positive braids
• Closures of positive braids and the Morton-Franks-Williams inequality