Zobrazeno 1 - 10
of 16
pro vyhledávání: '"55R40, 57R22"'
Autor:
Frenck, Georg
We prove the existence of elements of infinite order in the homotopy groups of the spaces $\mathcal{R}_{Ric>0}(M)$ and $\mathcal{R}_{sec>0}(M)$ of positive Ricci and positive sectional curvature, provided that $M$ is high-dimensional and Spin, admits
Externí odkaz:
http://arxiv.org/abs/2104.10595
Publikováno v:
C. R. Math. Acad. Sci. Paris 359 (2021), 149-154
We explain the existence of a smooth $HP^2$-bundle over $S^4$ whose total space has nontrivial $\hat{A}$-genus. Combined with an argument going back to Hitchin, this answers a question of Schick and implies that the space of Riemannian metrics of pos
Externí odkaz:
http://arxiv.org/abs/2007.15062
Autor:
Randal-Williams, Oscar
Publikováno v:
Glasgow Math. J. 64 (2022) 231-242
We construct a ring homomorphism comparing the tautological ring, fixing a point, of a closed smooth manifold with that of its stabilisation by $S^{2a} \times S^{2b}$.
Comment: 11 pages. v2: accepted version, to appear in Glasg. Math. J
Comment: 11 pages. v2: accepted version, to appear in Glasg. Math. J
Externí odkaz:
http://arxiv.org/abs/2006.13050
Autor:
Randal-Williams, Oscar
Publikováno v:
Selecta Math. (N.S.) 24 (2018), no. 4, 3835-3873
We prove several basic ring-theoretic results about tautological rings of manifolds W, that is, the rings of generalised Miller--Morita--Mumford classes for fibre bundles with fibre W. Firstly we provide conditions on the rational cohomology of W whi
Externí odkaz:
http://arxiv.org/abs/1611.03038
Publikováno v:
Compositio Math. 153 (2017) 851-866
We study tautological rings for high dimensional manifolds, that is, for each smooth manifold $M$ the ring $R^*(M)$ of those of characteristic classes of smooth fibre bundles with fibre $M$ which is generated by generalised Miller--Morita--Mumford cl
Externí odkaz:
http://arxiv.org/abs/1511.06445
Autor:
Grigoriev, Ilya
Publikováno v:
Geom. Topol. 21 (2017) 2015-2048
We study relations among characteristic classes of smooth manifold bundles with highly-connected fibers. For bundles with fiber the connected sum of $g$ copies of a product of spheres $S^d \times S^d$ and an odd $d$, we find numerous algebraic relati
Externí odkaz:
http://arxiv.org/abs/1310.6804
Publikováno v:
Acta Math. Hungar., 142 (2) (2014), 339-347
Let $X^k_{m,n}=\Sigma^k (\mathbb R\mathbb P^m/\mathbb R\mathbb P^n)$. In this note we completely determine the values of $k,m,n$ for which the total Stiefel-Whitney class $w(\xi)=1$ for any vector bundle $\xi$ over $X^k_{m,n}$.
Externí odkaz:
http://arxiv.org/abs/1211.5274
Autor:
Thakur, Ajay Singh
Publikováno v:
Homology, Homotopy and Applications, Vol. 15 (2013), No. 1, pp.223-233
A space $X$ is called $W$-trivial if for every vector bundle $\xi$ over $X$, the total Stiefel-Whitney class $W(\xi)= 1$. In this article we shall investigate whether the suspensions of Dold manifolds, $\s^k D(m,n)$, is $W$-trivial or not.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1209.2261
We explain the existence of a smooth $HP^2$-bundle over $S^4$ whose total space has nontrivial $\hat{A}$-genus. Combined with an argument going back to Hitchin, this answers a question of Schick and implies that the space of Riemannian metrics of pos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee133d120d6fb531e26ca15c27974ec9
Autor:
Oscar Randal-Williams
We prove several basic ring-theoretic results about tautological rings of manifolds W, that is, the rings of generalised Miller--Morita--Mumford classes for fibre bundles with fibre W. Firstly we provide conditions on the rational cohomology of W whi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d674fbabf2cd58751892011d90e95405