From Topology to Noncommutative Geometry: $K$-theory
We associate to each unital $C^*$-algebra $A$ a geometric object---a diagram of topological spaces representing quotient spaces of the noncommutative space underlying $A$---meant to serve the role of a generalized Gel'fand spectrum.
de Silva, Nadish
core
Non-degeneracy of cohomological traces for general Landau-Ginzburg models
We prove non-degeneracy of the cohomological bulk and boundary traces for general open-closed Landau-Ginzburg models associated to a pair $(X,W)$, where $X$ is a non-compact complex manifold with trivial canonical line bundle and $W$ is a complex-valued ...
Doryn, Dmitry, Lazaroiu, Calin Iuliu
core
Topological Hopf algebras, quantum groups and deformation quantization
After a presentation of the context and a brief reminder of deformation quantization, we indicate how the introduction of natural topological vector space topologies on Hopf algebras associated with Poisson Lie groups, Lie bialgebras and their doubles ...
Bonneau, Philippe, Sternheimer, Daniel
core +1 more source
A hybrid framework of hesitant fuzzy soft sets and rough sets for uncertainty modelling. [PDF]
Jahanvi, Nishad DK, Singh R, Khalid S.
europepmc +1 more source
Fusion 3-Categories for Duality Defects. [PDF]
Bhardwaj L +3 more
europepmc +1 more source
Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]
Su Z +7 more
europepmc +1 more source
Pointillisme à la Signac and Construction of a Quantum Fiber Bundle Over Convex Bodies. [PDF]
de Gosson M, de Gosson C.
europepmc +1 more source
Topology-preserving Hodge decomposition in the Eulerian representation. [PDF]
Su Z, Tong Y, Wei GW.
europepmc +1 more source
Simple and complex cells revisited: toward a selectivity-invariance model of object recognition. [PDF]
Li X, Wang S.
europepmc +1 more source
On the Classification of Bosonic and Fermionic One-Form Symmetries in 2 + 1 d and 't Hooft Anomaly Matching. [PDF]
Balasubramanian M +2 more
europepmc +1 more source

