منابع مشابه
Fold Cobordisms and Stable Homotopy Groups
We prove that for n ≥ 1 and q > 0 the (oriented) cobordism group of fold maps of (oriented) (n + q)-dimensional manifolds into R contains the direct sum of ⌊(q + 1)/2⌋ copies of the (n − 1)th stable homotopy group of spheres as a direct summand. We also prove that for k ≥ 1 and q = 2k − 1 the cobordism group of fold maps of unoriented (n+ q)-dimensional manifolds into R also contains the nth st...
متن کاملA new family in the stable homotopy groups of spheres
Let $p$ be a prime number greater than three. In this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(S)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm Ext}_A^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ up to nonzero scalar in the Adams spectral sequence, where $ngeq m+2>5$, $0leq sExt}_A^{s+2,q[(s+2)p...
متن کاملCobordisms of Homotopy Lens Spaces
We show that any 3-dimensional homotopy lens space M that is simple-homotopy equivalent to a lens space L(p, q) is s-cobordal to this lens space. It follows that M has the same multi-signature as L(p, q) and the action of Z/pZ on the universal cover of M embeds in an orthogonal action on S. We study here 3-dimensional manifolds that have a finite cyclic fundamental group. All such manifolds are...
متن کاملThe Stable Homotopy of the Classical Groups.
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متن کاملCobordisms and Reidemeister torsions of homotopy lens spaces
We show that any 3–dimensional homotopy lens space M that is simplehomotopy equivalent to a lens space L(p, q) is topologically s-cobordant to the lens space. It follows that M has the same multi-signature as L(p, q) and the action of π1(M) on the universal cover of M embeds in a free orthogonal action on S . AMS Classification numbers Primary: 57M60, 57N70 Secondary: 57R65, 57R80
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ژورنال
عنوان ژورنال: Studia Scientiarum Mathematicarum Hungarica
سال: 2009
ISSN: 0081-6906,1588-2896
DOI: 10.1556/sscmath.2009.1100