On the index of maximally hypoelliptic differential operators
K-Theory and Homology
2022-05-31 v2 Analysis of PDEs
Differential Geometry
Functional Analysis
Operator Algebras
Abstract
We give an index formula for the class of all *-maximally hypoelliptic differential operators on any closed manifold with vector bundle coefficients, generalising previous index formulas by Atiyah-Singer and van Erp. Using this formula, we give new explicit index computations for Hormander's sum of squares operators of arbitrary rank.
Keywords
Cite
@article{arxiv.2201.13049,
title = {On the index of maximally hypoelliptic differential operators},
author = {Omar Mohsen},
journal= {arXiv preprint arXiv:2201.13049},
year = {2022}
}
Comments
I slightly expanded the introduction and corrected some typos