6 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Brauer diagrams, modular operads, and a graphical nerve theorem for circuit algebras
Sophie Raynor
Circuit algebras, used in the study of finite-type knot invariants, are a symmetric analogue of Jones's planar algebras. They are very closely related to circuit operads, which are…
An infinity operad of normalized cacti
Luciana Basualdo Bonatto, Safia Chettih, Abigail Linton +3
We show that normalized cacti form an -operad in the form of a dendroidal space satisfying a weak Segal condition. To do this, we introduce a new topological operad of brac…
Graphical combinatorics and a distributive law for modular operads
Sophie Raynor
This work presents a detailed analysis of the combinatorics of modular operads. These are operad-like structures that admit a contraction operation as well as an operadic multiplic…