Continuous quivers of type A (I) foundations
We generalize quivers of type A to continuous quivers of type A and prove initial results
about pointwise finite-dimensional representations. Among these results is the classification …
about pointwise finite-dimensional representations. Among these results is the classification …
Continuous quivers of type a (III) embeddings of cluster theories
We continue the work started in parts (I) and (II) of this series. In this paper, we classify which
continuous quivers of type A are derived equivalent. Next, we define the new, which we call …
continuous quivers of type A are derived equivalent. Next, we define the new, which we call …
Cluster theories and cluster structures of type A
JD Rock - arXiv preprint arXiv:2112.14795, 2021 - arxiv.org
In the present paper we examine the relationship between several type $ A $ cluster
theories and structures. We define a 2D geometric model of a cluster theory, which …
theories and structures. We define a 2D geometric model of a cluster theory, which …
A continuous associahedron of type A
MC Kulkarni, JP Matherne, K Mousavand… - arXiv preprint arXiv …, 2021 - arxiv.org
Taking a representation-theoretic viewpoint, we construct a continuous associahedron
motivated by the realization of the generalized associahedron in the physical setting. We …
motivated by the realization of the generalized associahedron in the physical setting. We …
Continuous Quivers of Type A (IV) Continuous Mutation and Geometric Models of -clusters
J Rock - arXiv preprint arXiv:2004.11341, 2020 - arxiv.org
This if the final paper in the seriesContinuous Quivers of Type $ A $. In this part, we
generalize existing geometric models of type $ A $ cluster structures to the new $\mathbf E …
generalize existing geometric models of type $ A $ cluster structures to the new $\mathbf E …
[PDF][PDF] Cohomological and Derived Persistence Theory of Functions
B Fluhr - 2024 - bfluhr.com
Relative interlevel set cohomology (RISC) is an invariant of real-valued continuous functions
stemming from (zigzag) persistent homology by Edelsbrunner, Letscher, Zomorodian …
stemming from (zigzag) persistent homology by Edelsbrunner, Letscher, Zomorodian …
Continuous Quivers of Type A (IV) Continuous Mutation and Geometric Models of E-clusters
JD Rock - Algebras and Representation Theory, 2023 - Springer
This if the final paper in the series Continuous Quivers of Type A. In this part, we generalize
existing geometric models of type A cluster structures for the new E-clusters introduced in …
existing geometric models of type A cluster structures for the new E-clusters introduced in …