4 citations · 5 across the 6 of their papers we have counts for
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Stein trisections and homotopy 4-balls
Peter Lambert-Cole
A homotopy 4-ball is a smooth 4-manifold with boundary that is homotopy-equivalent to the standard . The smooth 4-dimensional Schoenflies problem asks whether every homo…
Lecture notes on trisections and cohomology
Peter Lambert-Cole
In these notes, we describe several geometric interpretations of when is a trisected 4-manifold. The main insight is that, by analogy with Hodge theory and sheaf cohom…
Symplectic surfaces and bridge position
Peter Lambert-Cole
We give a new characterization of symplectic surfaces in CP^2 via bridge trisections. Specifically, a minimal genus surface in CP^2 is smoothly isotopic to a symplectic surface if…
Trisections of 5-manifolds
Peter Lambert-Cole, Maggie Miller
Gay and Kirby introduced the notion of a trisection of a smooth 4-manifold, which is a decomposition of the 4-manifold into three elementary pieces. Rubinstein and Tillmann later e…
Trisections, intersection forms and the Torelli group
Peter Lambert-Cole
We apply mapping class group techniques and trisections to study intersection forms of smooth 4-manifolds. Johnson defined a well-known homomorphism from the Torelli group of a com…
On Conway mutation and link homology
Peter Lambert-Cole
We give a new, elementary proof that Khovanov homology with --coefficients is invariant under Conway mutation. This proof also gives a strategy to prove Bal…