[ALGTOP-L] addendum to May 9 posting about Kervaire invariant
landwebe at math.rutgers.edu
Wed May 13 11:40:28 EDT 2009
Here are some additions to my posting on May 9 about Peter M.
Akhemt'ev's recent paper, arXiv:0710.5853v3,
on the Kervaire invariant.
For the fact that this approach is dealing with the familiar Kervaire
invariant, see P.J. Eccles, Codimension one immersions and the
Kervaire invariant problem, Math. Proc. Camb. Phil. Soc. 90 (1981),
The main result in this paper is that the number of dimensions for
which the Kervaire invariant takes the value 1 is
finite, with no indication of how many such dimensions there are.
One can read an earlier 27-page paper in English by Akhkmet'ev on
this approach to the Kervaire invariant, arXiv:0801.1417 (posted 9
Peter Akhmet'ev will give a seminar talk on this work at Princeton
University at 4:30 on Tuesday, May 19, in Fine Hall 1001. There
will be discussions with him before the talk, starting at 10:30 AM,
and then after lunch as well. Everyone is invited to attend the
discussions, as well as Peter's seminar talk.
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