nLab Jeff Cheeger

• Wikipedia entry

Selected writings

Proof of the Ray-Singer conjecture, that on compact Riemannian manifolds the analytic torsion coincides with the Reidemeister torsion:

• Jeff Cheeger: Analytic torsion and Reidemeister torsion, Proc. Natl. Acad. Sci. USA 74 7 (1977) 2651-2654 [doi:10.1073/pnas.74.7.2651, pdf]

On Cheeger-Simons differential characters and secondary invariants:

• Jeff Cheeger, James Simons, Differential characters and geometric invariants, pages 50–80 in: Geometry and Topology Lecture Notes in Mathematics, vol 1167. Springer (1985) (pdf, doi:10.1007/BFb0075212)

On Ricci curvature:

• Michael T. Anderson, Jeff Cheeger, $C^\alpha$-compactness for manifolds with Ricci curvature and injectivity radius bounded below J. Diff. Geo. 35 2 (1992) 265-281 [doi:10.4310/jdg/1214448075]

• Jeff Cheeger, Aaron Naber: Lower bounds on Ricci curvature and quantitative behavior of singular sets, Invent. Math. 191 (2013) 321–339 [arXiv:1103.1819, doi:10.1007/s00222-012-0394-3]

On special holonomy orbifolds:

• Jeff Cheeger, Gang Tian, Anti-Self-Duality of Curvature and Degeneration of Metrics with Special Holonomy, Communications in Mathematical Physics volume 255, pages391–417 (2005) (doi:10.1007/s00220-004-1279-0)

On Isadore M. Singer:

• Robert Bryant, Jeff Cheeger, Phillip Griffiths: Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works, Notices of the AMS (Oct 2022) [pdf]

category: people