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1.
54 p, 1.0 MB
Topological Moduli Space for Germs of Holomorphic Foliations
/
Marín Pérez, David
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Mattei, Jean-François
(Institut de Mathématiques de Toulouse) ;
Salem, Eliane
(Sorbonne Université. Institut de Mathématiques de Jussieu-Paris Rive Gauche)
This work deals with the topological classification of germs of singular foliations on (ℂ2,0). Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices, and the projective holonomy representations and we compute the moduli space of topological classes in terms of the cohomology of a new algebraic object that we call group-graph. [...]
2020 -
10.1093/imrn/rny244
International Mathematics Research Notices
,
Vol. 2020, Issue 23 (November 2020)
, p. 9228-9292
Detailed record
-
2.
Invariants of polynomial vector fields
/
Llibre, Jaume
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Valls, Clàudia
1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)
We characterize the existence of first integrals and invariants (first integrals depending on the time) for the polynomial vector fields which are invariant under an involution.
2023 -
10.1016/j.jde.2023.05.024
Journal of differential equations
,
Vol. 365 (August 2023)
, p. 895-904
Detailed record
-
3.
11 p, 967.8 KB
Computation of topological phase diagram of disordered Pb1-x Snx Te using the kernel polynomial method
/
Varjas, Dániel
(Delft University of Technology. Kavli Institute of Nanoscience) ;
Fruchart, Michel
(University of Chicago. James Franck Institute and Department of Physics) ;
Akhmerov, Anton R.
(Delft University of Technology. Kavli Institute of Nanoscience) ;
Perez-Piskunow, Pablo M.
(Institut Català de Nanociència i Nanotecnologia)
We present an algorithm to determine topological invariants of inhomogeneous systems, such as alloys, disordered crystals, or amorphous systems. Based on the kernel polynomial method, our algorithm allows us to study samples with more than 107 degrees of freedom. [...]
2020 -
10.1103/PhysRevResearch.2.013229
Physical Review Research
,
Vol. 2, Issue 1 (February-April 2020)
, art. 13229
Detailed record
-
4.
27 p, 505.8 KB
Topological Classification of Quadratic Polynomial Differential Systems with a Finite Semi-Elemental Triple Saddle
/
Artés Ferragud, Joan Carles
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Rezende, Alex C.
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The study of planar quadratic differential systems is very important not only because they appear in many areas of applied mathematics but due to their richness in structure, stability and questions concerning limit cycles, for example. [...]
2016 -
10.1142/S0218127416501881
International journal of bifurcation and chaos in applied sciences and engineering
,
Vol. 26 Núm. 11 (2016)
, p. 1650188 (26 pages)
Detailed record
-
5.
119 p, 2.0 MB
The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (C)
/
Artés Ferragud, Joan Carles
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Rezende, Alex C.
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. [...]
2015 -
10.1142/S0218127415300098
International journal of bifurcation and chaos in applied sciences and engineering
,
Vol. 25 Núm. 3 (2015)
Detailed record
-
6.
30 p, 761.9 KB
A formula for the Dubrovnik polynomial of rational knots
/
Caprau, Carmen
(California State University (Estats Units d'Amèrica). Department of Mathematics) ;
Urabe, Katherine
(DataWORKS Educational Research (Estats Units d'Amèrica))
We provide a formula for the Dubrovnik polynomial of a rational knot in terms of the entries of the tuple associated with a braid-form diagram of the knot. Our calculations can be easily carried out using a computer algebra system.
2017 -
10.5565/PUBLMAT_61117_04
Publicacions matemàtiques
,
Vol. 61 Núm. 1 (2017)
, p. 105-134 (Articles)
Detailed record
-
7.
33 p, 583.3 KB
The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (A,B)
/
Artés Ferragud, Joan Carles
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Rezende, Alex C.
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. [...]
2014 -
10.1142/S0218127414500448
International journal of bifurcation and chaos in applied sciences and engineering
,
Vol. 24 Núm. 4 (2014)
, p. 1450044 (30 pages)
Detailed record
-
8.
16 p, 744.9 KB
Darboux integrability of polynomial differential systems in R^3
/
Llibre, Jaume
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Valls, Clàudia
1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
In this article we study the Darboux integrability of the polynomial differential systems x˙ = y − x2, y˙ = z − x, z˙ = −d − ax − by − cz. This system comes from the study of a Hopf bifurcation in slow-fast systems with two slow variables and one fast variable. [...]
2013
Bulletin of the Belgian Mathematical Society. Simon Stevin
,
Vol. 20 (2013)
, p. 603-619
Detailed record
-
9.
36 p, 338.1 KB
Topological and polynomial invariants, moduli spaces, in classification problems of polynomial vector fields
/
Schlomiuk, Dana
(Université de Montréal. Département de Mathématiques et de Statistique)
We describe the origin and evolution of ideas on topological and polynomial invariants and their interaction, in problems of classification of polynomial vector fields. The concept of moduli space is discussed in the last section and we indicate its value in understanding the dynamics of families of such systems. [...]
2014 -
10.5565/PUBLMAT_Extra14_23
Publicacions matemàtiques
,
Vol. Extra, Núm. (2014)
, p. 461-496
Detailed record
-
10.
20 p, 2.9 MB
Integrable systems on S3
/
Martínez-Alfaro, José
(Universitat de València. Departament de Matemàtiques) ;
Oliveira, Regilene
(Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação)
We classify the links of basic periodic orbits of integrable vector fields on S3 generalizing results on two degree of freedom Hamiltonian systems. We also study the case of completely integrable systems and define invariants for the two classes of vector fields.
2014 -
10.5565/PUBLMAT_Extra14_18
Publicacions matemàtiques
,
Vol. Extra, Núm. (2014)
, p. 333-352
Detailed record
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Articles :
14
records found 1 - 10
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Research literature
10
records found
1.
230 p, 1.8 MB
The range problem and dimension theory for the Cuntz semigroup
/
Vilalta Vila, Eduard
;
Perera Domènech, Francesc,
dir. ;
Universitat Autònoma de Barcelona.
Departament de Matemàtiques
En aquesta tesi s'estudien diversos aspectes del semigrup de Cuntz associat a una C*-àlgebra, així com els anomenats semigrups de Cuntz abstractes. En particular, analitzem el problema del rang per la classe d'àlgebres AI separables, obtenint una caracterització completa. [...]
En esta tesis se estudian varios aspectos del semigrupo de Cuntz asociado a una C*-álgebra, así como los llamados semigrupos de Cuntz abstractos. En particular, analizamos el problema del rango para la clase de álgebras AI separables, obteniendo una caracterización completa. [...]
In this thesis various aspects of the Cuntz semigroup associated with a C*-algebra are studied, as well as the so-called abstract Cuntz semigroups. In particular, we analyze the rank problem by the class of separable AI algebras, obtaining a complete characterization. [...]
2022
Detailed record
-
2.
181 p, 1009.7 KB
Trivial 2-cocycles for invariants of mod p homology spheres and Perron's conjecture
/
Riba Garcia, Ricard
;
Pitsch, Wolfgang,
dir. ;
Universitat Autònoma de Barcelona.
Departament de Matemàtiques
L'objectiu principal d'aquesta tesis és l'estudi de la conjectura de Perron. Aquesta conjectura afirma que certa funcio sobre el grup de Torelli mod p amb valors en Z/p és un invariant d'esferes d'homologia modul p. [...]
The main objective of this thesis is the study Perron's conjecture. This conjecture affirms that some function on the group of Torelli mod p, with values in Z/p, is an invariant of mod p homology spheres. [...]
[Bellaterra] : Universitat Autònoma de Barcelona, 2018.
Detailed record
-
3.
72 p, 584.4 KB
The eta invariant and equivariant index of transversally elliptic operators
/
Brüning, Jochen
;
Kamber, Franz W.
;
Richardson, Ken
;
Centre de Recerca Matemàtica
We prove a formula for the multiplicities of the index of an equivariant transversally elliptic operator on a G-manifold. The formula is a sum of integrals over blowups of the strata of the group action and also involves eta invariants of associated elliptic operators. [...]
Centre de Recerca Matemàtica 2010 (
Prepublicacions del Centre de Recerca Matemàtica ; 979
)
Detailed record
-
4.
34 p, 318.8 KB
RECASTING THE ELLIOTT CONJECTURE
/
Perera Domènech, Francesc
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Toms, Andrew S.
;
Centre de Recerca Matemàtica
Let A be a simple, unital, finite, and exact C*-algebra which absorbs the Jiang-Su algebra Z tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. [...]
Centre de Recerca Matemàtica 2006 (
Prepublicacions del Centre de Recerca Matemàtica ; 662
)
Detailed record
-
5.
48 p, 402.9 KB
Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings
/
Coquereaux, Robert
;
Schieber, G.
;
Centre de Recerca Matemàtica
Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their associated modular invariants, we determine the algebras of quantum symmetries, obtain their generators,and, as a by-product, recover the known graphs E4, E6 and E8 describing exceptional quantum subgroups of type SU(4). [...]
Centre de Recerca Matemàtica 2008 (
Prepublicacions del Centre de Recerca Matemàtica ; 810
)
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6.
32 p, 309.1 KB
Euclidean geometric invariant of framed knots in manifolds
/
Dubois, Jérôme
;
Korepanov, Igor G.
;
Martyushev, Evgeniy V.
;
Centre de Recerca Matemàtica
We present an invariant of a three dimensional manifold with a framed knot in it based on the Reidemeister torsion of an acyclic complex of Euclidean geometric origin. To show its nontriviality, we calculate the invariant for some framed (un)knots in lens spaces. [...]
Centre de Recerca Matemàtica 2007 (
Prepublicacions del Centre de Recerca Matemàtica ; 767
)
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7.
19 p, 234.8 KB
Well-posedness and invariant measures for HJM models with deterministic volatility and Lévy noise
/
Marinelli, Carlo
;
Centre de Recerca Matemàtica
We give sufficient conditions for existence, uniqueness and ergodicity of invariant measures for Musiela's stochastic partial differential equation with deterministic volatility and a Hilbert space valued driving Lévy noise. [...]
Centre de Recerca Matemàtica 2007 (
Prepublicacions del Centre de Recerca Matemàtica ; 759
)
Detailed record
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8.
26 p, 324.6 KB
On the asymptotic expansion of the colored Jones polynomial for torus knots
/
Dubois, Jérôme
;
Kashaev, Rinat
;
Centre de Recerca Matemàtica
In the asymptotic expansion of the hyperbolic specification of the colored Jones polynomial of torus knots, we identify different geometric contributions, in particular Chern-Simons invariant and Reidemeister torsion.
Centre de Recerca Matemàtica 2007 (
Prepublicacions del Centre de Recerca Matemàtica ; 736
)
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9.
8 p, 184.6 KB
Mixing invariants of hyperbolic 3-manifolds
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Lecuire, Cyril
;
Centre de Recerca Matemàtica
Let M be a compact hyperbolic 3-manifold with incompressible boundary. Consider a complete hyperbolic metric on int(M). To each geometrically finite end of int(M) are traditionnaly associated 3 different invariants : the hyperbolic metric associated to the conformal structure at infinity, the hyperbolic metric on the boundary of the convex core and the bending measured lamination of the convex core. [...]
Centre de Recerca Matemàtica 2006 (
Prepublicacions del Centre de Recerca Matemàtica ; 716
)
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10.
80 p, 519.3 KB
Modular invariants for manifolds with boundary
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Gálvez Carrillo, Maria Immaculada
;
Casacuberta, Carles,
dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Universitat Autònoma de Barcelona.
Departament de Matemàtiques
Vegeu migcresum1de1. pdf.
Bellaterra : Universitat Autònoma de Barcelona, 2001
3 documents
Detailed record
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