

A228038


Dimensions in which nonzero ArfKervaire invariants exist.


0




OFFSET

2,1


COMMENTS

Hill, Hopkins, and Ravenel (2009) proved that nonzero ArfKervaire 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

Table of n, a(n) for n=2..6.
M. A. Hill, M. J. Hopkins and D. C. Ravenel, On the nonexistence of elements of Kervaire invariant one, arXiv:0908.3724 [math.AT], 20092015.
Links via Google, Hill, Hopkins, Ravenel and string theory
V. P. Snaith, A history of the ArfKervaire invariant problem, Notices Amer. Math. Soc., 60 (No. 8, 2013), 10401047.


FORMULA

2^n  2 for n = 2, 3, 4, 5, 6.


CROSSREFS

Cf. A228689, A000918.
Sequence in context: A284023 A192966 A260058 * A122958 A122959 A095121
Adjacent sequences: A228035 A228036 A228037 * A228039 A228040 A228041


KEYWORD

nonn,fini,more


AUTHOR

Jonathan Sondow, Sep 01 2013


STATUS

approved



