Exploració per altres contribucions "Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions"
Ara es mostren els items 1-20 de 254
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A b-symplectic slice theorem
(2022-08-03)
Article
Accés obertIn this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we prove ... -
A b-symplectic slice theorem
(2020-09)
Report de recerca
Accés obertIn this article, motivated by the study of symplectic structures on manifolds with bound-ary and the systematic study ofb-symplectic manifolds started in [10], we prove a slice theorem forLie group actions onb-symplectic manifolds -
A contact geometry framework for field theories with dissipation
(2020-03-01)
Article
Accés obertWe develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of k-contact structure and k-contact Hamiltonian system. This is a generalization ... -
A K-contact Lagrangian formulation for nonconservative field theories
(2021-06-01)
Article
Accés obertDynamical systems with dissipative behaviour can be described in terms of contact manifolds and a modified version of Hamilton's equations. Dissipation terms can also be added to field equations, as showed in a recent paper ... -
A Koszul complex over skew polynomial rings
(2019-01-01)
Article
Accés obertWe construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence -
A new multisymplectic unified formalism for second order classical field theories
(American Institute of Mathematical Sciences, 2015-06-01)
Article
Accés obertWe present a new multisymplectic framework for second-order classical field theories which is based on an extension of the unified LagrangianHamiltonian formalism to these kinds of systems. This model provides a straightforward ... -
A new spectral method for latent variable models
(2018-05-22)
Article
Accés obertWe present an algorithm for the unsupervised learning of latent variable models based on the method of moments. We give efficient estimates of the moments for two models that are well known, e.g., in text mining, the ... -
A note on a question of Dimca and Greuel
(Elsevier, 2019-01-22)
Article
Accés obertIn this note we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and Tjurina numbers of an isolated plane curve singularity in the cases of one Puiseux pair and semi-quasi-homogeneous ... -
A note on Bernstein–Sato ideals
(2022-10-31)
Article
Accés obertWe define the Bernstein–Sato ideal associated to a tuple of ideals and we relate it to the jumping points of the corresponding mixed multiplier ideals. -
A note on the symplectic topology of b-manifolds
(2017)
Article
Accés obertPoisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to b-symplectic manifolds. We pro- vide ... -
A Poincaré lemma in geometric quantisation
(2013)
Report de recerca
Accés obertThis paper presents a Poincaré lemma for the Kostant comple x, used to compute geometric quantisation, when the polarisat ion is given by a Lagrangian foliation defined by an integrable system wit h non-degenerate singularities. -
A representation of cloth states based on a derivative of the Gauss linking integral
(Elsevier, 2023-11-15)
Article
Accés obertRobotic manipulation of cloth is a complex task because of the infinite-dimensional shape-state space of textiles, which makes their state estimation very difficult. In this paper we introduce the dGLI Cloth Coordinates, ... -
A summary on symmetries and conserved quantities of autonomous Hamiltonian systems
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2020)
Article
Accés obertA complete geometric classification of symmetries of autonomous Hamiltonian systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known ... -
A surprising fact about D-modules in characteristic p>0
(2004)
Report de recerca
Accés obertLet R = k[x1, . . . , xd] be the polynomial ring in d independent variables, where k is a field of characteristic p > 0. Let DR be the ring of k-linear differential operators of R and let f be a polynomial in R. In this ... -
Action-angle variables and a KAM theorem for b-Poisson manifolds
(2016-01-01)
Article
Accés obertIn this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [14] for general Poisson manifolds in this setting. As an application, we ... -
Alexander Grothendieck (1928-2014)
(Societat Catalana de Matemàtiques (SCM), 2015-02-01)
Article
Accés obertPresentació de l'obra matemàtica de A. Grothendieck. -
Algebraic K-theory and cubical descent
(2009)
Article
Accés obertIn this note we apply the Guillén-Navarro descent theorem to define a descent variant of the algebraic K-theory of varieties over a field of characteristic zero, KD(X), which coincides with K(X) for smooth varieties and ... -
Algebraic methods in phylogenetics
(2018-12-19)
Article
Accés obertTo those outside the field, and even to some focused on empirical applications, phylogenetics may appear to have little to do with algebra. Probability and statistics are clearly important ingredients, as modeling and ... -
Algebraic statistics in practice: applications to networks
(2020-01-01)
Article
Accés obertAlgebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical ... -
An A(infinity)Operad in Spineless Cacti
(2015-11-01)
Article
Accés obertThe dg operad of cellular chains on the operad of spineless cacti of Kaufmann (Topology 46(1):39-88, 2007) is isomorphic to the Gerstenhaber-Voronov dg operad codifying the cup product and brace operations on the Hochschild ...
