Joint with Jessica Purcell – (45 pages) – on the arxiv

Abstract: In the 1980s, Neumann and Zagier introduced a symplectic vector space associated to an ideal triangulation of a cusped 3-manifold, such as a knot complement. We give a geometric interpretation for this symplectic structure in terms of the topology of the 3-manifold, via intersections of certain curves on a Heegaard surface. We also give an algorithm to construct curves forming a symplectic basis.

SymplecticBasis_202208

A symplectic basis for 3-manifold triangulations
Tagged on:         

Leave a Reply

Your email address will not be published.