Commensurability of knots and L^2-invariants
Stefan Friedl
TL;DR
This paper demonstrates that certain L^2-invariants, specifically L^2-torsion and von Neumann rho-invariant, serve as tools to distinguish knots up to commensurability.
Contribution
It introduces the use of L^2-invariants as new commensurability invariants for knots, linking geometric and algebraic properties.
Findings
L^2-torsion is a knot invariant under commensurability.
von Neumann rho-invariant also serves as a commensurability invariant.
These invariants can distinguish knots that are not commensurable.
Abstract
We show that the L^2-torsion and the von Neumann rho-invariant give rise to commensurability invariants of knots.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · semigroups and automata theory