Geometry & Topology
- Geom. Topol.
- Volume 9, Number 1 (2005), 341-373.
The index of projective families of elliptic operators
An index theory for projective families of elliptic pseudodifferential operators is developed. The topological and the analytic index of such a family both take values in twisted –theory of the parametrizing space, . The main result is the equality of these two notions of index when the twisting class is in the torsion subgroup of . The Chern character of the index class is then computed.
Geom. Topol., Volume 9, Number 1 (2005), 341-373.
Received: 7 December 2004
Accepted: 28 February 2005
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 19K56: Index theory [See also 58J20, 58J22]
Secondary: 58J20: Index theory and related fixed point theorems [See also 19K56, 46L80]
Mathai, Varghese; Melrose, Richard B; Singer, Isadore M. The index of projective families of elliptic operators. Geom. Topol. 9 (2005), no. 1, 341--373. doi:10.2140/gt.2005.9.341. https://projecteuclid.org/euclid.gt/1513799569