On 20 September 2022 I gave a zoom talk in the Topology seminar at Tsinghua University, Beijing, entitled “A symplectic approach to 3-manifold triangulations and hyperbolic structures”.

## Monash topology talk on Symplectic approach to 3-manifold Triangulations, September 2022

On 14 September 2022 I gave a talk (in person!) in the Monash Topology seminar, entitled “A symplectic approach to 3-manifold triangulations and hyperbolic structures”.

## A symplectic basis for 3-manifold triangulations

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.