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We are hereby submitting our article A short note on infinity-groupoids and the period map for projective manifolds to the $n$Journal.
article type: expository article
submission type: author submission of arXiv article, arXiv:0911.3845
(note however that the submitted version is a slightly expanded version with respect to the arXiv version; also a few typos have been fixed in the submitted version. In case the article will be accepted for publication, the arXiv version will be updated accordingly)
Domenico Fiorenza
Elena Martinengo
Thanks. In the absence of a working editorial board, it is still the $n$Lab steering committee which has to handle this. I will initiate the relevant processes there. As soon as I know more, I’ll drop you a note.
ok, thanks. I’ve now edited the post above including the “article type” and “submission type” fields.
I just spotted an unpleasant inaccuracy in the submitted version of the article: on page 7 it is said that from a long exact sequence of homotopy groups $\cdots \pi_1(F)\to \pi_1(E)\to \pi_1(B)\to \pi_0(F)\to \pi_0(E)\to\cdots$ it follows that one has an isomorphism of pointed sets $\pi_0(F)\simeq \pi_1(B)/\i_*\pi_1(E)$. this is clearly not true unless the map $\pi_0(F)\to \pi_0(E)$ is the trivial one: what is isomorphic to $\pi_1(B)/\i_*\pi_1(E)$ is manifestly the preimage of the distinct point in $\pi_0(E)$ via the map $\pi_0(F)\to \pi_0(E)$. this is however what is actually needed in the article, and what confused me in writing that line. would it be possible to advice the referee of this? thanks.
Luckily the inaccuracy spotted yesterday was not affecting anything else in the article, so a very local correction has been enough to fix it. I should always remember the golden rule: never never look into an article once it is submitted, especially at Christmas :)
I’ve now uploaded the corrected version at A short note on infinity-groupoids and the period map for projective manifolds
Okay, thanks, I have forwarded these messages now to the referee.
thanks!
We now have the referee report. As soon as there is further news, I’ll inform you all.
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