Zobrazeno 1 - 10
of 582
pro vyhledávání: '"57S15"'
Autor:
Wasserman, Arthur G.
For any compact Lie group $G$ and any $n$ we construct a smooth $G$-manifold $U_n(G)$ such that any smooth $n$-dimensional $G$-manifold can be embedded in $U_n(G)$ with a trivial normal bundle. Furthermore, we show that such embeddings are unique up
Externí odkaz:
http://arxiv.org/abs/2501.00624
For manifolds equipped with group actions, we have the following natural question: To what extent does the equivariant cohomology determine the equivariant diffeotype? We resolve this question for Hamiltonian circle actions on compact, connected symp
Externí odkaz:
http://arxiv.org/abs/2412.14310
Autor:
Banagl, Markus
We construct an equivariant L-class for orientation preserving actions of a compact Lie group on a Whitney stratified compact oriented pseudomanifold that satisfies the Witt condition, for example on a compact pure-dimensional complex algebraic varie
Externí odkaz:
http://arxiv.org/abs/2412.13768
We construct canonical measures, referred to as Hilbert measures, on orbit spaces of classical coregular representations of the orthogonal groups $\operatorname{O}_m$. We observe that the measures have singularities along non-principal strata of the
Externí odkaz:
http://arxiv.org/abs/2411.13063
Autor:
Wiemeler, Michael
We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous $\text{Spin}^c$-manifolds and in other $\text{Spin}^c$-manifolds with Lie group actions. By applying these results to Fano manifolds with second
Externí odkaz:
http://arxiv.org/abs/2410.21412
We conclude the classification of isoparametric (or equivalently, polar) foliations of complex and quaternionic projective spaces. This is done by investigating the projections of certain inhomogeneous isoparametric foliations of the 31-sphere under
Externí odkaz:
http://arxiv.org/abs/2409.06032
We provide a symbolic classification of generalized Seifert fiber spaces, which were introduced by Mitsuishi and Yamaguchi in the classification of collapsing Alexandrov $3$-spaces. Additionally, we show that the canonical double branched cover of a
Externí odkaz:
http://arxiv.org/abs/2409.02216
We give explicit computations of the $\Gamma$-Euler characteristic of several families of orbit space definable translation groupoids. These include the translation groupoids associated to finite-dimensional linear representations of the circle and r
Externí odkaz:
http://arxiv.org/abs/2403.02552
We classify totally geodesic submanifolds of the real Stiefel manifolds of orthogonal two-frames. We also classify polar actions on these Stiefel manifolds, specifically, we prove that the orbits of polar actions are lifts of polar actions on the cor
Externí odkaz:
http://arxiv.org/abs/2402.08585
Autor:
Reiser, Philipp
The twisted suspension of a manifold is obtained by surgery along the fibre of a principal circle bundle over the manifold. It generalizes the spinning operation for knots and preserves various topological properties. In this article, we show that Ri
Externí odkaz:
http://arxiv.org/abs/2401.06587