Erratum for arXiv:1110.0927
[2019-09-10 Tue]
I said that I would be posting clarifications and errata for my old
papers. Here's another one. In our paper about monotone Lagrangians in
\(\mathbf{C}^n\), Jarek Kedra and I proved a bunch of things (that
monotone Lagrangians in \(\mathbf{C}^3\) are necessarily products
\(S^1\times\Sigma\), an h-principle for constructing immersed monotone
Lagrangians and, to illustrate these results, examples of monotone
Lagrangian \(S^1\times\Sigma\)s in \(\CC^3\)). Later, Egor Shelukhin
pointed out that the proof of Proposition 12 (the construction of the
monotone Lagrangian products) was essentially nonsense. It turns out
to be easy to modify the argument to get the examples; we wrote an
erratum to this effect, which we have now posted to arXiv and sent to
the journal.