Results 31 to 40 of about 31,550 (66)

Osculating geometry and higher‐order distance Loci

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco, Kemal Rose, Luca Sodomaco   +2 more
wiley   +1 more source

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

On the rho invariant for manifolds with boundary

, 2002
This article is a follow up of the previous article of the authors on the analytic surgery of eta- and rho-invariants. We investigate in detail the (Atiyah-Patodi-Singer)-rho-invariant for manifolds with boundary.
Atiyah, Atiyah, Atiyah, Atiyah, Berline, Bismut, Booss-Bavnbek, Booß-Bavnbek, Bunke, Gilkey, Hempel, Kato, Kirk, Kirk, Kvillen, Lawson, Lesch, Livingston, Matthias Lesch, Neumann, Paul A Kirk, Ramadas, Rolfsen, Wall, Weinberger   +24 more
core   +4 more sources

Mating parabolic rational maps with Hecke groups

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett, Luna Lomonaco, Mikhail Lyubich, Sabyasachi Mukherjee   +3 more
wiley   +1 more source

On several varieties of cacti and their relations

, 2005
Motivated by string topology and the arc operad, we introduce the notion of quasi-operads and consider four (quasi)-operads which are different varieties of the operad of cacti.
Kassel, Penner, Ralph M Kaufmann
core   +1 more source

The motive of the Hilbert scheme of points in all dimensions

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo, Sergej Monavari, Riccardo Moschetti, Andrea T. Ricolfi   +3 more
wiley   +1 more source

Obstructions to stably fibering manifolds

, 2011
Is a given map between compact topological manifolds homotopic to the projection map of a fiber bundle? In this paper obstructions to this question are introduced with values in higher algebraic K-theory. Their vanishing implies that the given map fibers
Anderson, Browder, Brumfiel, Burghelea, Bökstedt, Chapman, Chapman, Farrell, Freedman, Hatcher, Hirzebruch, Kirby, Lacher, Madsen, Quinn, Siebenmann, Steimle, Waldhausen, Waldhausen, Wall, Weiss, Wolfgang Steimle   +21 more
core   +1 more source

Assembly of constructible factorization algebras

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde   +2 more
wiley   +1 more source

Dynamic Homotopy and Landscape Dynamical Set Topology in Quantum Control

, 2012
We examine the topology of the subset of controls taking a given initial state to a given final state in quantum control, where "state" may mean a pure state |\psi>, an ensemble density matrix \rho, or a unitary propagator U(0,T).
Dominy, Jason, Rabitz, Herschel
core   +1 more source

The ∞$\infty$‐categorical reflection theorem and applications

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley   +1 more source