3 papers
math.GT2026
A Polynomial Invariant of Strongly Involutive Links
Carlo Collari, Paolo Lisca
We introduce a new two-variable polynomial invariant \(P^e\) of strongly involutive links, uniquely characterised by equivariant skein relations and naturally viewed as an equivari…
math.CO2026
Multipath complexes of bidirectional polygonal digraphs
Luigi Caputi, Carlo Collari, Jason P. Smith
In this work we study the homotopy type of multipath complexes of bidirectional path graphs and polygons, motivated by works of VreÄica and ŽivaljeviÄ on cycle-free chessboard c…
math.AT2025
Bridging between überhomology and double homology
Luigi Caputi, Daniele Celoria, Carlo Collari
We establish an isomorphism between the 0-degree überhomology and the double homology of finite simplicial complexes, using a Mayer-Vietoris spectral sequence argument. We clarify…