Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Rot, Thomas O."'
Autor:
Rot, Thomas O.
On 13-01-2024 the annual wintersymposium of the Koninlijk Wiskundig Genootschap (KWG) was held in the academiegebouw in Utrecht. The symposium had the theme ``inzichtelijk abstract''. Thomas Rot gave a lecture on his favourite theorem from topology.
Externí odkaz:
http://arxiv.org/abs/2402.18200
Autor:
Rot, Thomas O., Toussaint, Lauran
We classify non-linear proper Fredholm maps between Hilbert spaces, up to proper homotopy, in terms of the stable homotopy groups of spheres. We show that there is a surjective map from the stable homotopy groups of spheres to the set of non-linear p
Externí odkaz:
http://arxiv.org/abs/2307.08020
Autor:
Jung, Michael, Rot, Thomas O.
Using geometric arguments, we compute the group of homotopy classes of maps from a closed $(n+1)$-dimensional manifold to the $n$-sphere for $n \geq 3$. Our work extends results from Kirby, Melvin and Teichner for closed oriented 4-manifolds and from
Externí odkaz:
http://arxiv.org/abs/2307.03805
Local Morse cohomology associates cohomology groups to isolating neighborhoods of gradient flows of Morse functions on (generally non-compact) Riemannian manifolds $M$. We show that local Morse cohomology is a module over the cohomology of the isolat
Externí odkaz:
http://arxiv.org/abs/2212.10309
Autor:
Abbondandolo, Alberto, Rot, Thomas O.
Publikováno v:
Topol. Methods Nonlinear Anal. 59 (2022), 585-621
In a previous paper we classified the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold to its model space in terms of a suitable version of framed cobordism. We explicitly computed these homotopy classes for non-
Externí odkaz:
http://arxiv.org/abs/2005.03936
Autor:
Pasquotto, Federica, Rot, Thomas O.
Consider a connected manifold of dimension at least two and the group of compactly supported diffeomorphisms that are compactly supported isotopic to the identity. This group acts $n$-transitive: Any tuple of $n$ points can be moved to any other tupl
Externí odkaz:
http://arxiv.org/abs/1911.06709
Autor:
Pasquotto, Federica, Rot, Thomas O.
In [3] Borzellino and Brunsden started to develop an elementary differential topology theory for orbifolds. In this paper we carry on their project by defining a mapping degree for proper maps between orbifolds, which counts preimages of regular valu
Externí odkaz:
http://arxiv.org/abs/1907.02411
Autor:
Rot, Thomas O.
In this paper we classify the homotopy classes of proper maps $E\rightarrow \mathbb R^k$, where $E$ is a vector bundle over a compact Hausdorff space. As a corollary we compute the homotopy classes of proper maps $\mathbb R^n\rightarrow \mathbb R^k$.
Externí odkaz:
http://arxiv.org/abs/1808.08073
Autor:
Izydorek, Marek, Rot, Thomas O., Starostka, Maciej, Styborski, Marcin, Vandervorst, Robert C. A. M.
In this paper we introduce a new compactness condition - Property (C) - for flows in (not necessary locally compact) metric spaces. For such flows a Conley type theory can be developed. For example (regular) index pairs always exist for Property-(C)
Externí odkaz:
http://arxiv.org/abs/1612.05524
Autor:
Abbondandolo, Alberto, Rot, Thomas O.
Publikováno v:
J. Reine Angew. Math. 759 (2020), 161-200
We classify the homotopy classes of proper Fredholm maps from an infinite dimensional Hilbert manifold into its model space in terms of a suitable version of framed cobordism. Our construction is an alternative approach to the classification introduc
Externí odkaz:
http://arxiv.org/abs/1610.07039