3 papers
math.GT2026
4-dimensional Skein modules, Handle attachments, and Tangles
Gage Martin, Mary Stelow, Mira Wattal
Skein lasagna modules are a recent tool developed for the study of 4-manifolds. We provide general formula for 1-, 2-, and 3-handle attachments for skein modules defined with any f…
math.GT2024
Khovanov homology and Lagrangian cobordisms
Gage Martin, Ina Petkova, Zachary Winkeler
We provide a partial answer to a question of Ekholm, Honda, and Kálmán about the relationship between Khovanov homology and decomposable Lagrangian cobordisms. We also utilize prev…
math.CO2018
Infinite Latin Squares: Neighbor Balance and Orthogonality
Anthony B. Evans, Gage N. Martin, Kaethe Minden +1
Regarding neighbor balance, we consider natural generalizations of -complete Latin squares and Vatican squares from the finite to the infinite. We show that if is an infinit…