Results 41 to 50 of about 15,709 (204)
Mirror symmetry for five-parameter Hulek-Verrill manifolds
SciPost Physics, 2023 We study the mirrors of five-parameter Calabi-Yau threefolds first studied by Hulek and Verrill in the context of observed modular behaviour of the zeta functions for Calabi-Yau manifolds. Toric geometry allows for a simple explicit construction of these
Philip Candelas, Xenia de la Ossa, Pyry Kuusela, Joseph McGovern
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On Orbits of Order Ideals of Minuscule Posets [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 An action on order ideals of posets considered by Fon-Der-Flaass is analyzed in the case of posets arising from minuscule representations of complex simple Lie algebras.
David B. Rush, Xiaolin Shi
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Noncrossing partitions and the shard intersection order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We define a new lattice structure (W,\preceq ) on the elements of a finite Coxeter group W. This lattice, called the \emphshard intersection order, is weaker than the weak order and has the noncrossing partition lattice \NC (W) as a sublattice.
Nathan Reading
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PT Invariant Complex E (8) Root Spaces [PDF]
, 2010 We provide a construction procedure for complex root spaces invariant under antilinear transformations, which may be applied to any Coxeter group. The procedure is based on the factorisation of a chosen element of the Coxeter group into two factors. Each
A. Fring +15 more
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Coxeter transformation groups and reflection arrangements in smooth manifolds [PDF]
, 2015 Artin groups are a natural generalization of braid groups and are well-understood in certain cases. Artin groups are closely related to Coxeter groups.
Das, Ronno, Deshpande, Priyavrat
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Bott-Samelson Varieties, Subword Complexes and Brick Polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Bott-Samelson varieties factor the flag variety $G/B$ into a product of $\mathbb{C}\mathbb{P}^1$'s with a map into $G/B$. These varieties are mostly studied in the case in which the map into $G/B$ is birational; however in this paper we study fibers of ...
Laura Escobar
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PT $$ \mathcal{P}\mathcal{T} $$ deformation of angular Calogero models
Journal of High Energy Physics, 2017 The rational Calogero model based on an arbitrary rank-n Coxeter root system is spherically reduced to a superintegrable angular model of a particle moving on S n−1 subject to a very particular potential singular at the reflection hyperplanes.
Francisco Correa, Olaf Lechtenfeld
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Salvetti complex, spectral sequences and cohomology of Artin groups [PDF]
, 2013 The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural ...
Callegaro, Filippo
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On the $H$-triangle of generalised nonnesting partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 With a crystallographic root system $\Phi$ , there are associated two Catalan objects, the set of nonnesting partitions $NN(\Phi)$, and the cluster complex $\Delta (\Phi)$. These possess a number of enumerative coincidences, many of which are captured in
Marko Thiel
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Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls [PDF]
, 2006 Let (W,S) be a Coxeter system of finite rank (ie |S| is finite) and let A be the associated Coxeter (or Davis) complex. We study chains of pairwise parallel walls in A using Tits' bilinear form associated to the standard root system of (W,S).
Benedetti +11 more
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