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%I #21 Jul 18 2015 11:26:43
%S 2,6,14,30,62
%N Dimensions in which nonzero Arf-Kervaire invariants exist.
%C Hill, Hopkins, and Ravenel (2009) proved that nonzero Arf-Kervaire invariants exist only in dimensions 2^n - 2 for n = 2, 3, 4, 5, 6, and possibly 7, that is, in dimensions 2, 6, 14, 30, 62 and possibly 126. Thus either the sequence is complete or it has one additional term.
%C Connections with string theory (see Google link) are speculative.
%H M. A. Hill, M. J. Hopkins and D. C. Ravenel, <a href="http://arxiv.org/abs/0908.3724">On the non-existence of elements of Kervaire invariant one</a>, arXiv:0908.3724 [math.AT], 2009-2015.
%H Links via Google, <a href="http://www.google.com/search?q=Hill,+Hopkins,+Ravenel+%22string+theory%22">Hill, Hopkins, Ravenel and string theory</a>
%H V. P. Snaith, <a href="http://www.ams.org/notices/201308/rnoti-p1040.pdf">A history of the Arf-Kervaire invariant problem</a>, Notices Amer. Math. Soc., 60 (No. 8, 2013), 1040-1047.
%F 2^n - 2 for n = 2, 3, 4, 5, 6.
%Y Cf. A228689, A000918.
%K nonn,fini,more
%O 2,1
%A _Jonathan Sondow_, Sep 01 2013
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