Scotty Tilton

activity

20232025

collaborators

3 papers

math.AT2025

The Boundary Dehn Twist on a Punctured Connected Sum of Two K3 Surfaces is Nontrivial in the Smooth Mapping Class Group

Scotty Tilton

We prove that the boundary Dehn twist on $K 3# K 3 ∖ B^{4}$ is nontrivial in the smooth mapping class group, providing another example of an exotic diffeomorphism on a simply-co…

math.AT2024

The $E_{2}^{h C_{6}}$ -homology of $R P^{2}$ and $R P^{2} \land C P^{2}$

Irina Bobkova, Jack Carlisle, Emmett Fitz +6

Let $E_{2}$ be the Morava E-theory of height 2 at the prime 2. In this paper, we compute the homotopy groups of $E_{2}^{h C_{6}} \land R P^{2}$ and $\…

math.AT2023

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games

Linus Bao, Christy Hazel, Tia Karkos +6

We prove that Hill's characteristic function $χ$ for transfer systems on a lattice $P$ surjects onto interior operators for $P$ . Moreover, the fibers of $χ$ have unique maxima whic…

The Boundary Dehn Twist on a Punctured Connected Sum of Two K3 Surfaces is Nontrivial in the Smooth Mapping Class Group

The E2hC6​​-homology of RP2 and RP2∧CP2

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games

The $E_{2}^{h C_{6}}$ -homology of $R P^{2}$ and $R P^{2} \land C P^{2}$