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Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Magic N-cubes form a free monoid

, 2008
In this paper we prove a conjecture stated in an earlier paper. The conjecture states that with respect to a rather natural operation, the set of N-dimensional magic cubes forms a free monoid for every integer N> 1. A consequence of this conjecture is
Magic N-cubes Form, A Free Monoid, Allan Adler   +2 more
core  

The Topology of Spaces of Polygons [PDF]

, 2011
We study the topology of spaces of polygons in Euclidean space, viewed up to translations. The main results concern the structure of the homology groups and of the cohomology rings of the spaces.
FROMM, VIKTOR
core  

Massive Dirac fermion observed in lanthanide-doped topological insulator thin films [PDF]

, 2015
This publication arises from research funded by the John Fell Oxford University Press (OUP) Research Fund, a DARPA MESO Project (No. N66001-11-1-4105), and funding from the European Union Seventh Framework Programme under Grant Agreement 312483 – ESTEEM2
Srot, V, Van Aken, P. A., Collins-McIntyre, LJ, Chen, YL, Harrison, SE, Collins-McIntyre, Liam James, Kellock, A., Parkin, S.S.P., Chen, Schönherr, P, Vailionis, A., Chen, Y. L., Schönherr, Piet, Hesjedal, Thorsten, Pushp, A, Pushp, A., Harris, J.S., Srot, V., Hesjedal, T., Zhou, B, Collins-McIntyre, L., Parkin, S. S P, van Aken, P.A., Harris, J. S., Kellock, A.J., Harris, J., Kellock, AJ, van Aken, P., Hesjedal, T, Parkin, S., Parkin, SSP, Harrison, S., Collins-McIntyre, Liam J., Zhou, B., Harrison, S. E., Harris, JS, Kellock, A. J., Schönherr, P., van Aken, PA, Vailionis, A, Harrison, S.E.   +40 more
core   +1 more source

On finest unitary extensions of topological monoids

, 2015
We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative ...
Averbukh Boris G.
core   +1 more source

Topological structure of the magnetic solar corona [PDF]

, 2007
The solar corona is a highly complex and active plasma environment, containing many exotic phenomena such as solar flares, coronal mass ejections, prominences, coronal loops, and bright points.
Maclean, Rhona Claire
core   +2 more sources

Topological Methods for Studying Contextuality: N-Cycle Scenarios and Beyond. [PDF]

Entropy (Basel), 2023
Kharoof A, Ipek S, Okay C.
europepmc   +1 more source

Commutative Topological Semigroups Embedded into Topological Abelian Groups

, 2020
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
core   +1 more source

Symmetry protected topological phases of spin chains [PDF]

, 2013
Symmetry protected topological (SPT) phases are characterized by robust boundary features, which do not disappear unless passing through a phase transition.
Duivenvoorden, Kasper
core   +1 more source

What is category theory to cognitive science? Compositional representation and comparison. [PDF]

Front Psychol, 2022
Phillips S.
europepmc   +1 more source