Links in Surfaces and Laplacian Modules

2020/02/24 by Daniel S. Silver, Susan G. Williams, Silver, Daniel S. +1
Mathematics · #05C10 #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:05C10 #msc:57M25

paper · pdf · doi:10.48550/arxiv.2002.10040

14 pages, 15 figures

arxiv created 2020/02/24 · arxiv updated 2020/02/25

Abstract

Laplacian matrices of weighted graphs in surfaces S are used to define module and polynomial invariants of Z/2-homologically trivial links in S × [0,1]. Information about virtual genus is obtained.

Related

• Thistlethwaite's theorem for virtual links
• Surface pole bracket polynomials of virtual knots and twisted knots
• U_q(\mathfrakgl(m|n)) bounds on the minimal genus of virtual links
• Coloring invariants for links in Σ_g× S¹
• Group Presentations for Links in Thickened Surfaces