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pro vyhledávání: '"Saneblidze, Samson"'
Autor:
Saneblidze, Samson
Motivated by the loop space cohomology we construct the secondary operations on the cohomology $H^*(X; \mathbb{Z}_p)$ to be a Hopf algebra for a simply connected space $X.$ The loop space cohomology ring $H^*(\Omega X; \mathbb{Z}_p)$ is calculated in
Externí odkaz:
http://arxiv.org/abs/2409.04861
Autor:
Saneblidze, Samson, Umble, Ronald
We prove that the formula for the diagonal approximation $\Delta_{K}$ on J. Stasheff's $n$-dimensional associahedron $K_{n+2}$ derived by the current authors in 2004 agrees with the "magical formula" for the diagonal approximation $\Delta_{K}^{\prime
Externí odkaz:
http://arxiv.org/abs/2207.08543
Autor:
Saneblidze, Samson, Umble, Ronald
We complete the construction of the biassociahedra $KK$, construct the free matrad $\mathcal{H}_{\infty}$, realize $\mathcal{H}_{\infty}$ as the cellular chains of $KK,$ and define an $A_{\infty}$-bialgebra as an algebra over $\mathcal{H}_{\infty}.$
Externí odkaz:
http://arxiv.org/abs/2110.11732
Autor:
Rivera, Manuel, Saneblidze, Samson
Publikováno v:
Bulletin of the London Mathematical Society 2018
We introduce the abstract notion of a closed necklical set in order to describe a functorial combinatorial model of the free loop fibration $\Omega Y\rightarrow \Lambda Y\rightarrow Y$ over the geometric realization $Y=|X|$ of a path connected simpli
Externí odkaz:
http://arxiv.org/abs/1712.02644
Autor:
Rivera, Manuel, Saneblidze, Samson
We introduce the abstract notion of a necklical set in order to describe a functorial combinatorial model of the path fibration over the geometric realization of a path connected simplicial set. In particular, to any path connected simplicial set $X$
Externí odkaz:
http://arxiv.org/abs/1706.00983
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Autor:
Saneblidze, Samson
Let $\Lambda X$ be the free loop space on a simply connected finite $CW$-complex $X$ and $\beta_{i}(\Lambda X;\Bbbk)$ be the cardinality of a minimal generating set of $H^{i}(\Lambda X;\Bbbk)$ for $\Bbbk$ to be a commutative ring with unit. The seque
Externí odkaz:
http://arxiv.org/abs/1110.5233
Autor:
Saneblidze, Samson, Umble, Ronald
We define the notion of a relative matrad and realize the free relative matrad as a free H_\infty-bimodule structure on cellular chains of bimultiplihedra JJ={JJ_{n,m} = JJ_{m,n}}. We define a morphism G:A => B of A_\infty-bialgebras as a bimodule ov
Externí odkaz:
http://arxiv.org/abs/1106.5090
Autor:
Saneblidze, Samson
Publikováno v:
Published in Proceedings of A. Razmadze Mathematical Institute, 119 (1999), 155-164
Let $R\subseteq \Bbb Q$ be a subring of the rationals and let $p$ be the least prime (if none, $p=\infty $) which is not invertible in $R.$ For an $R$-local $r$-connected $CW$-complex $X$ of dimension $\leq \min(r+2p-3,rp-1), r\geq 1, $ a complete ho
Externí odkaz:
http://arxiv.org/abs/1003.2897
Autor:
Saneblidze, Samson
Let $A$ be a special homotopy G-algebra over a commutative unital ring $\Bbbk$ such that both $H(A)$ and $\operatorname{Tor}_{i}^{A}(\Bbbk,\Bbbk)$ are finitely generated $\Bbbk$-modules for all $i$, and let $\tau_{i}(A)$ be the cardinality of a minim
Externí odkaz:
http://arxiv.org/abs/0905.2591