3 papers
q-bio.OT2026
Persistent Homology as a Morphological Signature of Fibrin Networks
Thomas Burnett, Theresa Reinhold, Bea Bleile +5
We present an investigation of the applicability of topological data analysis (TDA) to the study of high-resolution confocal microscopy images of fibrin network structures from pat…
math.CT2024
Modular operads, iterated distributive laws and a nerve theorem for circuit algebras
Sophie Raynor
Circuit algebras are a symmetric version of Jones's planar algebras. They originated in quantum topology as a framework for encoding virtual crossings. This paper extends existing…
math.QA2024
Functorial, operadic and modular operadic combinatorics of circuit algebras
Sophie Raynor
Circuit algebras are a symmetric analogue of Jones's planar algebras introduced to study finite-type invariants of virtual knotted objects. Circuit algebra structures appear, in di…