Results overview: Found 5 records in 0.04 seconds.
Articles, 5 records found
Articles 5 records found  
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  
2.
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  
3.
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  
4.
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  
5.
20 p, 187.8 KB The linear invariants (dn ) and (Ω) for spaces of germs of holomorphic functions on compact subsets of Cn / Bui, Dac Tac ; Le, Mau Hai ; Nguyen, Quang Dieu
For a compact subset K of Cn, we give necessary and sufficient conditions for [H(K)]0 to have the property (DN), and similarly for the property (Ω). We also show that H(D) is isomorphic to H(∆ n), where ∆n is the unit polydisc in Cn and D is any bounded Reinhardt domain in Cn. [...]
2004 - 10.5565/PUBLMAT_48104_02
Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 49-68  

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