2 papers
math.DG2026
Twisted embeddings of tori have small extrinsic systole
Sahana Vasudevan
We prove a type of systolic inequality for embeddings of in . In particular, a highly twisted embedded in must contain a non-contractible l…
math.GT2025
Extrinsic systole of Seifert surfaces and distortion of knots
Sahana Vasudevan
In 1983, Gromov introduced the notion of distortion of a knot, and asked if there are knots with arbitrarily large distortion. In 2011, Pardon proved that the distortion of $T_{p,q…