3 papers
math.GT2025
A knot Floer stable homotopy type
Ciprian Manolescu, Sucharit Sarkar
Given a grid diagram for a knot or link K in , we construct a filtered spectrum whose homology is the knot Floer homology of K. We conjecture that the filtered homotopy type o…
math.AC2025
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…
math.CO2025
Phutball Draws
Sucharit Sarkar
In this short note, we exhibit a draw in the game of Philosopher's Phutball. We construct a position on a 12 x 10 Phutball board from where either player has a drawing strategy, an…