Zobrazeno 1 - 10
of 718
pro vyhledávání: '"55R80"'
Autor:
Vassiliev, V. A.
We study the space of codimension two subalgebras in $C^\infty(S^1, {\mathbb R})$ defined by pairs of conditions $f(\varphi)=f(\psi)$, $\varphi \neq \psi \in S^1$, or by their limits. We compute the mod 2 cohomology ring of this space, and also the S
Externí odkaz:
http://arxiv.org/abs/2412.18508
In this paper, we compute sharp bounds for the higher topological complexity of many planar polygon spaces having small genetic codes. In most of these cases we show that the $k$-th higher topological complexity of planar polygon spaces is either $km
Externí odkaz:
http://arxiv.org/abs/2412.01529
In this paper, we study sequences of topological spaces called "vertical configuration spaces" of points in Euclidean space. We apply the theory of FI$_G$-modules, and results of Bianchi-Kranhold, to show that their (co)homology groups are "represent
Externí odkaz:
http://arxiv.org/abs/2412.01128
We consider the space of all configurations of finitely many (potentially nested) circles in the plane. We prove that this space is aspherical, and compute the fundamental group of each of its connected components. It turns out these fundamental grou
Externí odkaz:
http://arxiv.org/abs/2411.04800
For a finite group $H$ and connected topological spaces $X$ and $Y$ such that $X$ is endowed with a free left $H$-action $\tau$, we provide a geometric condition in terms of the existence of a commutative diagram of spaces (arising from the triple $(
Externí odkaz:
http://arxiv.org/abs/2411.01054
Autor:
Chen, Weiyan, Gu, Xing
We study the topological complexity, in the sense of Smale, of three enumerative problems in algebraic geometry: finding the 27 lines on cubic surfaces, the 28 bitangents and the 24 inflection points on quartic curves. In particular, we prove lower b
Externí odkaz:
http://arxiv.org/abs/2411.00497
Autor:
Guerra, Lorenzo, Salvatore, Paolo
We show that a certain conjecture by Atiyah and Sutcliffe implies the existence of an $ E_3 $-algebra (respectively $ E_2 $-algebra) structure on the disjoint union of all complex (respectively real) full flag manifolds modulo symmetric groups. Moreo
Externí odkaz:
http://arxiv.org/abs/2410.24124
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
For a graph $G$, let Conf$(G,n)$ denote the classical configuration space of $n$ labelled points in $G$. Abrams introduced a cubical complex, denoted here by DConf$(G,n)$, sitting inside Conf$(G,n)$ as a strong deformation retract provided $G$ is sui
Externí odkaz:
http://arxiv.org/abs/2407.07854
Autor:
Das, Ronno, Tosteson, Philip
We consider the space of holomorphic maps from a compact Riemann surface to a projective space blown up at finitely many points. We show that the homology of this mapping space equals that of the space of continuous maps that intersect the exceptiona
Externí odkaz:
http://arxiv.org/abs/2405.12968