Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Berceanu, Barbu"'
Autor:
Berceanu, Barbu Rudolf
We recall the fundamental theorem of J.F. Ritt, with a stress on the action of the affine group and canonical forms of complex polynomials. Then we give a complete presentation of the monoid $(\mathbb{C}\mbox{[X]},\circ)$. A list of decomposable poly
Externí odkaz:
http://arxiv.org/abs/2410.12447
Autor:
Berceanu, Barbu Rudolf
Finitely many hypersurfaces are removed from unordered configuration spaces of $n$ points in $\mathbb{C}$ to obtain a fibration over unordered configuration spaces of $n-1$ complex points. Fundamental groups of these restricted configuration spaces a
Externí odkaz:
http://arxiv.org/abs/2409.02586
Autor:
Berceanu, Barbu, Yameen, Muhammad
Homological stability for unordered configuration spaces of connected manifolds was discovered by Th. Church and extended by O. Randal-Williams and B. Knudsen: $H_i(C_k(M);\mathbb{Q})$ is constant for $k\geq f(i)$. We characterize the manifolds satis
Externí odkaz:
http://arxiv.org/abs/1810.05011
Publikováno v:
Algebr. Geom. Topol. 17 (2017) 1163-1188
We examine complements (inside products of a smooth projective complex curve of arbitrary genus) of unions of diagonals indexed by the edges of an arbitrary simple graph. We use Gysin models associated to these quasi-projective manifolds to compute p
Externí odkaz:
http://arxiv.org/abs/1504.04733
We introduce a relative Garside element, the quotient of the corresponding Garside elements G1 and G2, for a pair of Artin monoids associated to Coxeter graphs Gamma1 and Gamma2, the second graph containing a new vertex. These relative elements give
Externí odkaz:
http://arxiv.org/abs/1312.3411
Autor:
Ashraf, Samia, Berceanu, Barbu
We compute the Betti numbers and describe the cohomology algebras of the ordered and unordered configuration spaces of three points in complex projective spaces, including the infinite dimensional case. We also compute these invariants for the config
Externí odkaz:
http://arxiv.org/abs/1212.1291
Publikováno v:
Algebr. Geom. Topol. 14 (2014) 57-90
The natural action of the symmetric group on the configuration spaces F(X; n) induces an action on the Kriz model E(X; n). The represen- tation theory of this DGA is studied and a big acyclic subcomplex which is Sn-invariant is described.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1204.1272
Publikováno v:
Can. J. Math.-J. Can. Math. 67 (2015) 1024-1045
The symmetric group acts on the power set and also on the set of square free polynomials. These two related representations are analyzed from the stability point of view. An application is given for the action of the symmetric group on the cohomology
Externí odkaz:
http://arxiv.org/abs/1106.4926
Autor:
Berceanu, Barbu, Parveen, Saima
We compute the fundamental group of various spaces of Desargues configurations in complex projective spaces: planar and non-planar configurations, with a fixed center and also with an arbitrary center.
Comment: 11 pages, 4 figures, accepted for
Comment: 11 pages, 4 figures, accepted for
Externí odkaz:
http://arxiv.org/abs/1102.1790
Different ways to describe a permutation, as a sequence of integers, or a product of Coxeter generators, or a tree, give different choices to define a simple permutation. We recollect few of them, define new types of simple permutations, and analyze
Externí odkaz:
http://arxiv.org/abs/1007.3869