activity
20132024
most citedBridge trisections in and the Thom conjecture (with Corrigendum)

12 citations · 31 across the 21 of their papers we have counts for

collaborators

24 papers

math.GT2024

Moduli Spaces of Lagrangian Surfaces in obtained from Triple Grid Diagrams

Devashi Gulati, Peter Lambert-Cole

Links in as well as Legendrian links in the standard tight contact structure on can be encoded by grid diagrams. These consist of a collection of points on a toroidal g…

math.GT2024

The Wrappingness and Trunkenness of Volume-Preserving Flows

Peter Lambert-Cole

Link invariants of long pieces of orbits of a volume-preserving flow can be used to define diffeomorphism invariants of the flow. In this paper, we extend the notions of wrapping n…

math.GT2024

Constructions of symplectic forms on 4-manifolds

Peter Lambert-Cole

Given a symplectic 4-manifold with rational symplectic form, Auroux constructed branched coverings to . By modifying a previous construction of Lambert-Cole-…

math.GT2023

Constructing Lagrangians from triple grid diagrams

Sarah Blackwell, David T. Gay, Peter Lambert-Cole

Links in can be encoded by grid diagrams; a grid diagram is a collection of points on a toroidal grid such that each row and column of the grid contains exactly two points. G…

math.GT2022

Symplectic forms on trisected 4-manifolds

Peter Lambert-Cole

Previously work of the author with Meier and Starkston showed that every closed symplectic manifold with a rational symplectic form admits a trisection compatible with the…

math.GT2022

Toric multisections and curves in rational surfaces

Gabriel Islambouli, Homayun Karimi, Peter Lambert-Cole +1

We study multisections of embedded surfaces in 4-manifolds admitting effective torus actions. We show that a simply-connected 4-manifold admits a genus one multisection if and only…