Noncommutative varieties with curvature having bounded signature
Abstract
The signature(s) of the curvature of the zero set V of a free (noncommutative) polynomial is defined as the number of positive and negative eigenvalues of the noncommutative 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.
 Publication:

arXiv eprints
 Pub Date:
 January 2012
 arXiv:
 arXiv:1202.0056
 Bibcode:
 2012arXiv1202.0056D
 Keywords:

 Mathematics  Functional Analysis