Results 21 to 30 of about 31,550 (66)

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

The refined transfer, bundle structures and algebraic K-theory

, 2007
We give new homotopy theoretic criteria for deciding when a fibration with homotopy finite fibers admits a reduction to a fiber bundle with compact topological manifold fibers.
Becker, Becker, Becker, Bruce Williams, Brumfiel, Burghelea, Casson, Chapman, Cohen, Douglas, Dwyer, Goodwillie, Hatcher, Igusa, Igusa, John R. Klein, Kirby, Lashof, May, May, Quillen, Rourke, Schwede, Strøm, Waldhausen   +24 more
core   +2 more sources

Singularities and Semistable Degenerations for Symplectic Topology [PDF]

, 2017
We overview our recent work defining and studying normal crossings varieties and subvarieties in symplectic topology. This work answers a question of Gromov on the feasibility of introducing singular (sub)varieties into symplectic topology in the case of
McLean, Mark, Tehrani, Mohammad Farajzadeh, Zinger, Aleksey   +2 more
core   +3 more sources

Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators

International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley   +1 more source

The homology of the Milnor fiber for classical braid groups

, 2006
In this paper we compute the homology of the braid groups, with coefficients in the module Z[q^+-1] given by the ring of Laurent polynomials with integer coefficients and where the action of the braid group is defined by mapping each generator of the ...
Arnol’d, Arnol’d, Artin, Birman, Cohen, Cohen, De Concini, Filippo Callegaro, Fuks, Gorin, Gorjunov, Guerrier, Landi, Salvetti, Vaĭnšteĭn   +14 more
core   +1 more source

Entanglement Distribution in Quantum Networks Via Swapping of Partially Entangled Pure States

Annalen der Physik, Volume 538, Issue 3, March 2026.
The manuscript establishes a unified theoretical framework for entanglement swapping with partially entangled pure states across diverse quantum‐network topologies. By deriving closed‐form expressions for the full output ensembles and success probabilities, we show that successive swapping operations generate a binomially distributed spectrum of ...
Henrique Guerra, Tailan S. Sarubi, Rafael Chaves, Jonas Maziero   +3 more
wiley   +1 more source

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

Calculus III: Taylor Series

, 2003
We study functors from spaces to spaces or spectra that preserve weak homotopy equivalences. For each such functor we construct a universal n-excisive approximation, which may be thought of as its n-excisive part. Homogeneous functors, meaning n-excisive
Arone, Lewis, MacLane, Thomas G Goodwillie, Waldhausen, Waldhausen, Whitehead   +6 more
core   +2 more sources

Equivariant localization and completion in cyclic homology and derived loop spaces

, 2020
We prove an equivariant localization theorem over an algebraically closed field of characteristic zero for smooth quotient stacks by reductive groups $X/G$ in the setting of derived loop spaces as well as Hochschild homology and its cyclic variants.
Chen, Harrison
core   +1 more source