Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum
Abstract
A mapping class group of an oriented manifold is a quotient of its diffeomorphism group by the isotopies. In the published version of "Mapping class group and a global Torelli theorem for hyperkahler manifolds" I made an error based on a wrong quotation of Dennis Sullivan's famous paper "Infinitesimal computations in topology". I claimed that the natural homomorphism from the mapping class group to the group of automorphims of cohomology of a simply connected Kahler manifold has finite kernel. In a recent preprint arXiv:1907.05693, Matthias Kreck and Yang Su produced counterexamples to this statement. Here I correct this error and other related errors, observing that the results of "Mapping class group and a global Torelli theorem" remain true after an appropriate change of terminology.
Cite
@article{arxiv.1908.11772,
title = {Mapping class group and global Torelli theorem for hyperkahler manifolds: an erratum},
author = {Misha Verbitsky},
journal= {arXiv preprint arXiv:1908.11772},
year = {2020}
}
Comments
9 pages, version 2.1, small improvements throughout, minor errors squashed