Results 41 to 50 of about 9,409 (89)

Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley   +1 more source

Star Formation in a Strongly Magnetized Cloud

, 2021
We study star formation in the Center Ridge 1 (CR1) clump in the Vela C giant molecular cloud, selected as a high column density region that shows the lowest level of dust continuum polarization-angle dispersion, likely indicating that the magnetic field
Tan, Jonathan, Galitzki, N., Cheng, Yu, Goodson, Matthew D., Fissel, Laura,, Fontani, Francesco, Arce, H., Galitzk, Nicholas, Cheng, Y., Tan, Jonathan,, Fontani, Francesco,, Arce, Hector G., Fissel, L., Caselli, Paola,, Liu, Mengyao,, Arce, Hector G.,, Caselli, P., Fissel, Laura, Liu, M., Goodson, M., Goodson, Matthew D.,, Cheng, Yu,, Tan, J., Liu, Mengyao, Galitzk, Nicholas,, Caselli, Paola, Fontani, F.   +26 more
core   +1 more source

The Picard group in equivariant homotopy theory via stable module categories

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley   +1 more source

Fundamental groups of clique complexes of random graphs

Transactions of the London Mathematical Society, Volume 2, Issue 1, Page 1-32, 2015., 2015
We study fundamental groups of clique complexes associated to random Erdős–Rényi graphs Γ. We establish thresholds for a number of properties of fundamental groups of these complexes XΓ. In particular, if p=nα, then we show that gdim(π1(XΓ))=cd(π1(XΓ))=1ifα<−12,gdim(π1(XΓ))=cd(π1(XΓ))=2if−12<α<−1130,gdim(π1(XΓ))=cd(π1(XΓ))=∞if−1130<α<−13 ...
Armindo Costa, Michael Farber, Danijela Horak   +2 more
wiley   +1 more source

On independent star sets in finite graphs [PDF]

, 2014
Let G be a finite graph with μ as an eigenvalue of multiplicity k. A star set for μ is a set X of k vertices in G such that μ is not an eigenvalue of G-X. We investigate independent star sets of largest possible size in a variety of situations.
Rowlinson, Peter
core   +1 more source

Assouad–Nagata dimension of minor‐closed metrics

Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.
Abstract Assouad–Nagata dimension addresses both large‐ and small‐scale behaviors of metric spaces and is a refinement of Gromov's asymptotic dimension. A metric space M$M$ is a minor‐closed metric if there exists an (edge‐)weighted graph G$G$ satisfying a fixed minor‐closed property such that the underlying space of M$M$ is the vertex‐set of G$G$, and
Chun‐Hung Liu
wiley   +1 more source

A Crossing Lemma for Annular Regions and Invariant Sets with an Application to Planar Dynamical Systems

Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013
We present a topological result, named crossing lemma, dealing with the existence of a continuum which crosses a topological space between a pair of “opposite” sides. This topological lemma allows us to obtain some fixed point results. In the works of Pascoletti et al., 2008, and Pascoletti and Zanolin, 2010, we have widely exposed the crossing lemma ...
Anna Pascoletti, Fabio Zanolin, Alfredo Peris   +2 more
wiley   +1 more source

How does dark matter affect compact star properties and high density constraints of strongly interacting matter [PDF]

, 2022
We study the impact of asymmetric bosonic dark matter on neutron star properties, including possible changes of tidal deformability, maximum mass, radius, and matter distribution inside the star.
Sagun Violetta, Giangrandi Edoardo, Providência Constança, Ivanytskyi Oleksii, Dietrich Tim   +4 more
core   +1 more source

The Mumford conjecture (after Bianchi)

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley   +1 more source

A stable splitting of factorisation homology of generalised surfaces

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract For a manifold W$W$ and an Ed$\smash{E_{\smash{d}} }$‐algebra A$A$, the factorisation homology ∫WA$\smash{\int _W A}$ can be seen as a generalisation of the classical configuration space of labelled particles in W$W$. It carries an action by the diffeomorphism group Diff∂(W)$\mathrm{Diff}{}_\partial (W)$, and for the generalised surfaces Wg,1≔(
Florian Kranhold
wiley   +1 more source