OFFSET
2,1
COMMENTS
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.
Connections with string theory (see Google link) are speculative.
LINKS
M. A. Hill, M. J. Hopkins and D. C. Ravenel, On the non-existence of elements of Kervaire invariant one, arXiv:0908.3724 [math.AT], 2009-2015.
Links via Google, Hill, Hopkins, Ravenel and string theory
V. P. Snaith, A history of the Arf-Kervaire invariant problem, Notices Amer. Math. Soc., 60 (No. 8, 2013), 1040-1047.
FORMULA
2^n - 2 for n = 2, 3, 4, 5, 6.
CROSSREFS
KEYWORD
nonn,fini,more
AUTHOR
Jonathan Sondow, Sep 01 2013
STATUS
approved