3 papers
math.GT2025
Exotic diffeomorphisms of 4-manifolds with b_+ = 2
David Baraglia, Joshua Tomlin
Let be a compact, oriented, smooth, simply-connected -manifold. The mapping class group of is defined as the group of smooth isotopy classes of diffeomorphisms of . T…
math.DG2025
A general connected sum formula for the families Bauer-Furuta invariant
Joshua Tomlin
The Bauer-Furuta invariant of a family of smooth 4-manifolds is a stable cohomotopy refinement of the families Seiberg-Witten invariant and is constructed from a finite dimensional…
math.DG2025
A general connected sum formula for the families Seiberg-Witten invariant
Joshua Tomlin
In ordinary Seiberg-Witten theory, there are well known connected sum formulae such as the vanishing formula and the blow up formula. For families Seiberg-Witten theory, there are…