Dirac cohomology and character lifting
arXiv:2012.08783
Abstract
The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules, or Dirac index of the trivial representation. The lifting of tempered characters in terms of index of Dirac cohomology is calculated explicitly.
To appear in Acta Math Sinica. arXiv admin note: substantial text overlap with arXiv:1511.07618