2 papers
math.GT2026
Exotic knot traces and the epsilon-invariant
Shreya Sinha, Allison Tsypin
Building on recent work of Hom and Wan, we construct additional examples of exotic knot traces, providing partial progress toward their conjecture. Our approach uses the immersed-c…
math.SP2026
Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces
Alena Erchenko, Dmitry Jakobson, Allison Tsypin
It is known that the small eigenvalues of the Laplacian of a Riemann surface close to the boundary of the modular space can be well approximated by the eigenvalues of the discrete…