45 citations · 72 across the 7 of their papers we have counts for
7 papers · 1 filter
The algebraic topology of 4-manifolds multisections
Delphine Moussard, Trenton Schirmer
A multisection of a 4-manifold is a decomposition into 1-handlebodies intersecting pairwise along 3-dimensional handlebodies or along a central closed surface; this generalizes the…
Calculating the homology and intersection form of a 4-manifold from a trisection diagram
Peter Feller, Michael Klug, Trent Schirmer +1
Given a diagram for a trisection of a 4-manifold , we describe the homology and the intersection form of in terms of the three subgroups of generated by…
Classification of trisections and the Generalized Property R Conjecture
Jeffrey Meier, Trent Schirmer, Alexander Zupan
We show that the members of a large class of unbalanced four-manifold trisections are standard, and we present a family of trisections that is likely to include non-standard trisec…
The classification of some GK-trisections
Trent Schirmer
We classify a large class of "unbalanced" 4-manifold GK-trisections, which are a slight generalization of 4-manifold trisections defined by Gay and Kirby.
A lower bound on tunnel number degeneration
Trent Schirmer
We prove a theorem which bounds Heegaard genus from below under special kinds of toroidal amalgamations of -manifolds. As a consequence, we conclude $t(K_1\# K_2)\geq \max\{t(K_…
On Heegaard splittings of glued 3-manifolds
Trent Schirmer
We introduce a new technique for finding lower bounds on the Heegaard genus of a 3-manifold obtained by gluing a pair of 3-manifolds together along an incompressible torus or annul…
New examples of tunnel number subadditivity
Trenton Schirmer
If the tunnel number of a link is denoted , a pair of knots is said to be subadditive if $t(K_1)+t(K_2)>t(K_1 # K_2)$. We construct new examples of subadditive…