3 problems

Positive Burau eigenvalue conjecture for order-preserving braids
Let $B_n$ be the braid group on $n$ strands, let $\mathbb{E}$ be the relevant ordered field with quadratic form $Q$ , and let … be the reduced Burau representation. A braid…
openbraid-groups burau-representation orderable-groups
0 responses
05
Dunfield's orderable Dehn filling conjecture for two-bridge knots
Dunfield's conjecture. For every rational slope $r\in I$ , Dehn filling $K$ along slope $r$ is orderable.
opendehn-surgery orderable-groups two-bridge-knots
0 responses
04
The L-space conjecture for irreducible rational homology 3-spheres
Let $M$ be a rational homology $3$ -sphere, meaning that $H_1(M;\mathbf{Q})=0$ . Its Heegaard Floer homology has rank at least $\left|H_1(M;\mathbf{Z})\right|$ , and $M$ is an L-space…
open3-manifolds 3-manifold-topology foliations heegaard-floer-homology left-orderability left-orderable-groups l-spaces orderable-groups taut-foliations
0 responses
033

Positive Burau eigenvalue conjecture for order-preserving braids