Ryan Stees

activity

20232026

collaborators

5 papers

math.GT2026

Non-concordant 2-links in simply-connected 4-manifolds

Maggie Miller, Ryan Stees

We construct an infinite family of smooth 2-component links of 2-spheres $Σ_{k} \subset S^{2} \times S^{2}$ whose respective components are smoothly concordant but which are pairwise not t…

math.AG2026

Fourier-Mukai transforms by a family of stable sheaves and preservation of stability

Kota Yoshioka

For a Fourier-Mukai transform whose kernel is a family of Gieseker stable sheaves, we shall give a condition for the preservation of Gieseker stability of sheaves.

math.GT2025

Triple linking and rational homology cobordism

Ryan Stees

If a rational homology 3-sphere $M$ bounds a rational homology 4-ball $W$ , then the kernel of the inclusion-induced homomorphism $H_{1} (M; Z) \to H_{1} (W; Z)$ is a Lagra…

math.GT2025

Almost-concordance of knots in aspherical 3-manifolds

Ryan Stees

In this paper, we study topological concordance modulo local knotting, or almost-concordance, of knots in 3-manifolds $M \neq = S^{3}$ . A. Levine, Celoria (arXiv:1602.05476v4), and Frie…

math.GT2023

Milnor's invariants for knots and links in closed orientable 3-manifolds

Ryan Stees

In his 1957 paper, John Milnor introduced a collection of invariants for links in $S^{3}$ detecting higher-order linking phenomena by studying lower central quotients of link groups…