nLab Isadore Singer

• wikipedia

Selected writings

Introducing the Kadison-Singer problem:

• Richard V. Kadison, Isadore Singer, Extensions of pure states, American Journal of Mathematics, 81(2):383–400, 1959 (jstor:2372748)

Introducing what came to be known as Karoubi K-theory:

• Michael Atiyah, Isadore Singer, Index theory for skew-adjoint Fredholm operators, Publications Mathématiques de l’IHÉS, Tome 37 (1969) 5-26 $[$numdam:PMIHES_1969__37__5_0$]$

Introducing Ray-Singer analytic torsion:

• Daniel Burrill Ray, Isadore Singer: $R$-torsion and the Laplacian on Riemannian manifolds, Adv. Math. 7 2 (1971) 145-210 [doi:10.1016/0001-8708(71)90045-4]

  (for Riemannian manifolds)

• Daniel Burrill Ray, Isadore Singer: Analytic torsion for complex manifolds, Ann. Math. 98 1 (1973) 154-177 [doi:10.2307/1970909, jstor:1970909]

  (for complex manifolds)

On quantum anomalies via index theory:

• Michael Atiyah, Isadore Singer, Dirac operators coupled to vector potentials, Proc. Nat. Acad. Sci. USA 81, 2597-2600 (1984) (doi:10.1073/pnas.81.8.2597, jstor:23378)

On topological Yang-Mills theory:

• L. Baulieu, Isadore Singer, Topological Yang-Mills symmetry, Nuclear Physics B - Proceedings Supplements Volume 5, Issue 2, December 1988, Pages 12-19 (doi:10.1016/0920-5632(88)90366-0)

On differential cohomology with motivation from M5-branes-physics

• Quadratic Functions in Geometry, Topology,and M-Theory

category: people