2 papers
math.GT2025
Families of Arcs in 4-Manifolds and Maps of Configuration Spaces
Shruthi Sridhar-Shapiro
In this thesis we construct 3-parameter families of embedded arcs with fixed boundary in a 4-manifold. We then analyze these elements of …
math.AT2025
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras
Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3
We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…