Results 21 to 30 of about 31,749 (114)

Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
wiley   +1 more source

Splitting vector bundles and A^1-fundamental groups of higher dimensional varieties

, 2012
We study aspects of the A^1-homotopy classification problem in dimensions >= 3 and, to this end, we investigate the problem of computing A^1-homotopy groups of some A^1-connected smooth varieties of dimension >=.
Asok, Aravind
core   +1 more source

The universal family of punctured Riemann surfaces is Stein

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley   +1 more source

Poincare submersions

, 2005
We prove two kinds of fibering theorems for maps X --> P, where X and P are Poincare spaces. The special case of P = S^1 yields a Poincare duality analogue of the fibering theorem of Browder and Levine.Comment: Published by Algebraic and Geometric ...
John R Klein, Klein, Wall
core   +1 more source

Stabilization of Poincaré duality complexes and homotopy gyrations

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
wiley   +1 more source

The fundamental group of the complement of a generic fiber‐type curve

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín, Eva Elduque   +1 more
wiley   +1 more source

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Postnikov extensions of ring spectra

, 2006
We give a functorial construction of k-invariants for ring spectra and use these to classify extensions in the Postnikov tower of a ring spectrum.Comment: This is the version published by Algebraic & Geometric Topology on 1 November ...
Baues, Brooke Shipley, Daniel Dugger, Hovey, Quillen, Shipley   +5 more
core   +2 more sources

Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley   +1 more source

Around the tangent cone theorem

, 2015
A cornerstone of the theory of cohomology jump loci is the Tangent Cone theorem, which relates the behavior around the origin of the characteristic and resonance varieties of a space.
A. Dimca, A. Dimca, A. Dimca, A. Dimca, A. Libgober, A. Libgober, A. Măcinic, A.I. Suciu, A.I. Suciu, A.I. Suciu, A.I. Suciu, B. Totaro, C. Bibby, C. Dupont, C. Simpson, D. Arapura, D. Sullivan, D.C. Cohen, D.V. Millionschikov, E. Artal Bartolo, E.M. Feichtner, G. Denham, G. Denham, H. Kasuya, H. Zuber, J.I. Cogolludo-Agustín, J.W. Alexander, J.W. Morgan, M. Eastwood, M. Falk, M. Falk, M. Green, M. Green, M. Marco-Buzunáriz, M. Miller, N. Budur, N. Budur, P. Deligne, P. Orlik, R. Bezrukavnikov, S. Papadima, S. Papadima, S. Papadima, S. Papadima, S. Papadima, S. Yuzvinsky, T. Kohno, Y. Feler, Y. Félix   +48 more
core   +1 more source