Peter Lambert-Cole

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math.GT2025

Bridge trisections in $CP^{2}$ and the Thom conjecture (with Corrigendum)

Peter Lambert-Cole

In this paper, we develop new techniques for understanding surfaces in $CP^{2}$ via bridge trisections. Trisections are a novel approach to smooth 4-manifold topology, intro…

math.GT2024

Constructing Lagrangians from triple grid diagrams

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

Links in $S^{3}$ 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.GT2024

Moduli Spaces of Lagrangian Surfaces in $CP^{2}$ obtained from Triple Grid Diagrams

Devashi Gulati, Peter Lambert-Cole

Links in $S^{3}$ as well as Legendrian links in the standard tight contact structure on $S^{3}$ can be encoded by grid diagrams. These consist of a collection of points on a toroidal g…

Bridge trisections in CP2 and the Thom conjecture (with Corrigendum)

Constructing Lagrangians from triple grid diagrams

Moduli Spaces of Lagrangian Surfaces in CP2 obtained from Triple Grid Diagrams

Bridge trisections in $CP^{2}$ and the Thom conjecture (with Corrigendum)

Moduli Spaces of Lagrangian Surfaces in $CP^{2}$ obtained from Triple Grid Diagrams