Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Stafa, Mentor"'
Autor:
Ramras, Daniel A., Stafa, Mentor
Publikováno v:
Int. Math. Res. Not. IMRN 2021, no. 5, 3927-4002
In this paper we study homological stability for spaces ${\rm Hom}(\mathbb{Z}^n,G)$ of pairwise commuting $n$-tuples in a Lie group $G$. We prove that for each $n\geqslant 1$, these spaces satisfy rational homological stability as $G$ ranges through
Externí odkaz:
http://arxiv.org/abs/1805.01368
Autor:
Stafa, Mentor
Publikováno v:
J. Group Theory 2019, v. 22 (3), pp. 419-440
For any compact and connected Lie group $G$ and any free abelian or free nilpotent group $\Gamma$ , we determine the cohomology of the path component of the trivial representation of the representation space (character variety) $Rep(\Gamma,G)_1$, wit
Externí odkaz:
http://arxiv.org/abs/1705.01443
Autor:
Ramras, Daniel A., Stafa, Mentor
Publikováno v:
Math. Z. (2019) 292: 591
In this article we study the homology of spaces ${\rm Hom}(\mathbb{Z}^n,G)$ of ordered pairwise commuting $n$-tuples in a Lie group $G$. We give an explicit formula for the Poincare series of these spaces in terms of invariants of the Weyl group of $
Externí odkaz:
http://arxiv.org/abs/1704.05793
Autor:
Stafa, Mentor
Publikováno v:
Topology Appl. 244 (2018) pp. 12-30
This article presents a machinery based on polyhedral products that produces faithful representations of graph products of finite groups and direct products of finite groups into automorphisms of free groups $\rm Aut(F_n)$ and outer automorphisms of
Externí odkaz:
http://arxiv.org/abs/1604.05504
Autor:
Cohen, Frederick R., Stafa, Mentor
Publikováno v:
Springer INdAM series, vol. 14, 361-379, 2016
The purpose of this article is to give an exposition of topological properties of spaces of homomorphisms from certain finitely generated discrete groups to Lie groups $G$, and to describe their connections to classical representation theory, as well
Externí odkaz:
http://arxiv.org/abs/1412.5668
Autor:
Cohen, Frederick R., Stafa, Mentor
Publikováno v:
Math. Proc. Cambridge Philos. Soc. 161(3) (2016), pp. 381-407
The main purpose of this paper is to introduce a method to stabilize certain spaces of homomorphisms from finitely generated free abelian groups to a Lie group $G$, namely $Hom(\mathbb Z^n,G)$. We show that this stabilized space of homomorphisms deco
Externí odkaz:
http://arxiv.org/abs/1402.6309
Autor:
Stafa, Mentor
Publikováno v:
J. Pure Appl. Alg. 219 (2015), no 8, 3372-3390
We study the monodromy representation corresponding to a fibration introduced by G. Denham and A. Suciu, which involves polyhedral products given in Definition 2.2. Algebraic and geometric descriptions for these monodromy representations are given. I
Externí odkaz:
http://arxiv.org/abs/1402.3270
Autor:
Stafa, Mentor
Publikováno v:
J. Pure Appl. Alg. 219 (2015), no 6, 2279-2299
Let $K$ be a finite simplicial complex, and $(X,A)$ be a pair of spaces. The purpose of this article is to study the fundamental group of the polyhedral product denoted $Z_K(X,A)$, which denotes the moment-angle complex of Buchstaber-Panov in the cas
Externí odkaz:
http://arxiv.org/abs/1310.3504
Autor:
Stafa, Mentor
Publikováno v:
In Topology and its Applications 1 August 2018 244:12-30
Autor:
Stafa, Mentor
Publikováno v:
In Journal of Pure and Applied Algebra August 2015 219(8):3372-3390