Non-commutative varieties with curvature having bounded signature
Functional Analysis
2012-02-02 v1
Abstract
The signature(s) of the curvature of the zero set V of a free (non-commutative) polynomial is defined as the number of positive and negative eigenvalues of the non-commutative second fundamental form on V determined by p. With some natural hypotheses, the degree of p is bounded in terms of the signature. In particular, if one of the signatures is zero, then the degree of p is at most two.
Keywords
Cite
@article{arxiv.1202.0056,
title = {Non-commutative varieties with curvature having bounded signature},
author = {Harry Dym and J. William Helton and Scott McCullough},
journal= {arXiv preprint arXiv:1202.0056},
year = {2012}
}