The 14-dimensional kervaire invariant and the sporadic group $\mathrm{M}_{12}$
نویسندگان
چکیده
منابع مشابه
Translation invariant surfaces in the 3-dimensional Heisenberg group
In this paper, we study translation invariant surfaces in the 3-dimensional Heisenberg group $rm Nil_3$. In particular, we completely classify translation invariant surfaces in $rm Nil_3$ whose position vector $x$ satisfies the equation $Delta x = Ax$, where $Delta$ is the Laplacian operator of the surface and $A$ is a $3 times 3$-real matrix.
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We give an expository account of the development of the Kervaire invariant and its generalizations with emphasis on its applications to surgery and, in particular, to the existence of stably parallelizable manifolds with Kervaire invariant one.
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in this paper, we study translation invariant surfaces in the 3-dimensional heisenberg group $rm nil_3$. in particular, we completely classify translation invariant surfaces in $rm nil_3$ whose position vector $x$ satisfies the equation $delta x = ax$, where $delta$ is the laplacian operator of the surface and $a$ is a $3 times 3$-real matrix.
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(i) Synopsis. The discovery, around 1960, of the 'Kervaire Invariant' for almost framed manifolds of dimension 4k+ 2 (see [12]) was an important stimulant for the development of surgery theory; but it also led to the theory of the 'generalized Kervaire Invariant' of Browder and Brown [2, 3]. The present paper is an attempt at uniting these two theories, by constructing a non-simply-connected an...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 1997
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.1997.v1.n2.a8