MathSciDoc: An Archive for Mathematician ∫

Index	Title	Upload Time	Modified Time
11	The A-polynomial and holonomy perturbations 林剑锋 University of California Los Angeles Geometric Analysis and Geometric Topology mathscidoc:2205.15011 Mathematical Research Letters, 22, (5), 2015.5 [ Download ] [ 2022-05-17 18:14:09 uploaded by linjian5477 ] [ 424 downloads ] [ 0 comments ] Abstract × Dunfield-Garoufalidis and Boyer-Zhang proved that the A-polynomial of a nontrivial knot in S3 is nontrivial. In this paper, we use holonomy perturbations to prove the non-triviality of the A-polynomial for a nontrivial, null-homotopic knot in an irreducible 3-manifold. Also, we give a strong constraint on the A-polynomial of a knot in the 3-sphere. OK [ Abstract ] [ Full ] Please log in for comment!	2022-05-17 18:14:09	2022-05-17 20:52:30
12	Fixed subgroups of automorphisms of hyperbolic 3-manifold groups 林剑锋 University of California Los Angeles Shicheng Wang Peking University Geometric Analysis and Geometric Topology mathscidoc:2205.15012 Topology and its Applications, 173, (15), 2014.8 [ Download ] [ 2022-05-17 18:17:33 uploaded by linjian5477 ] [ 416 downloads ] [ 0 comments ] Abstract × For fixed subgroups Fix(ϕ) of automorphisms ϕ on hyperbolic 3-manifold groups π1(M), we observed that rk(Fix(ϕ))<2rk(π1(M)) and the constant 2 in the inequality is sharp; we also classify all possible groups Fix(ϕ). OK [ Abstract ] [ Full ] Please log in for comment!	2022-05-17 18:17:33	2022-05-17 20:52:50