Results 71 to 80 of about 15,709 (204)

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source

Equivariant Hilbert and Ehrhart series under translative group actions

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley   +1 more source

EL-Shellability and Noncrossing Partitions Associated with Well-Generated Complex Reflection Groups

, 2014
In this article we prove that the lattice of noncrossing partitions is EL-shellable when associated with the well-generated complex reflection group of type $G(d,d,n)$, for $d,n\geq 3$, or with the exceptional well-generated complex reflection groups ...
Armstrong, Armstrong, Athanasiadis, Athanasiadis, Bessis, Bessis, Bessis, Bessis, Björner, Björner, Björner, Björner, Borchmann, Brady, Brady, Brady, Broué, Chapoton, Chevalley, Edelman, Ganter, Henri Mühle, Kreweras, Lehrer, Lehrer, McCammond, Michel, Mühle, Orlik, Orlik, Reiner, Ripoll, Shephard, Simion, Springer   +34 more
core   +1 more source

Property (T) for groups acting on affine buildings

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3151-3162, October 2025.
Abstract We prove that a group acting geometrically on a thick affine building has property (T). A more general criterion for property (T) is given for groups acting on partite complexes.
Izhar Oppenheim
wiley   +1 more source

Embedding products of trees into higher rank

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We show that there exists a quasi‐isometric embedding of the product of n$n$ copies of HR2$\mathbb {H}_{\mathbb {R}}^2$ into any symmetric space of non‐compact type of rank n$n$, and there exists a bi‐Lipschitz embedding of the product of n$n$ copies of the 3‐regular tree T3$T_3$ into any thick Euclidean building of rank n$n$ with co‐compact ...
Oussama Bensaid, Thang Nguyen
wiley   +1 more source

The FAn Conjecture for Coxeter groups

, 2005
We study global fixed points for actions of Coxeter groups on nonpositively curved singular spaces. In particular, we consider property FA_n, an analogue of Serre's property FA for actions on CAT(0) complexes.
Alperin, Angela Kubena Barnhill, Bass, Bogopol’skiĭ, Bourbaki, Bridson, Bridson, Bridson, Brown, Cooper, Corson, Davis, Deodhar, Haefliger, Humphreys, McCord, Niblo, Scott, Stallings, Tits, Watatani   +20 more
core   +4 more sources

On Reflection Orders Compatible with a Coxeter Element [PDF]

, 2015
In this article we give a simple, almost uniform proof that the lattice of noncrossing partitions associated with a well-generated complex reflection group is lexicographically shellable. So far a uniform proof is available only for Coxeter groups.
Mühle, Henri
core  

Coxeter groups and nonuniform complexity

Advances in Applied Mathematics, 1991
For any Coxeter group \(W\) a faithful information system with object set \(W\) and the decision graph computing a mapping \(f: W\to 2\) are constructed. Almost all functions \(f\) are hard to compute. The complexity of \(f\) is a lower bound for some complexity of an arbitrary extension \(f\). The condition complex \(\text{Cond}(I)\) of an information
openaire   +1 more source

Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.
Lucas C. Lopes, Pavel A. Zalesskii
wiley   +1 more source

Global scale efficiency in data envelopment analysis

International Transactions in Operational Research, Volume 32, Issue 5, Page 2474-2496, September 2025.
Abstract In the realm of assessing scale efficiency (SE), it tends to be computed as a firm‐specific phenomenon rather than something associated with the whole shape of the frontier of the technology under evaluation. This circumstance may lead to inaccuracies in the conclusions drawn regarding the returns to scale (RTS) exhibited across the entire ...
Juan Aparicio, Daniel Santín
wiley   +1 more source