nLab Timothy Killingback

Timothy P. Killingback

• institute page

• inSpire page

Selected writings

Identifying the spinorial anomaly cancellation of the heterotic string sigma model with (twisted) string structure (and coining that term) and hence with a lift of the Green-Schwarz anomaly cancellation-condition (trivialization of the first fractional Pontrjagin class of the tangent bundle minus the second Chern class of the gauge bundle) from de Rham cohomology/real cohomology to integral cohomology:

• Timothy Killingback: World-sheet anomalies and loop geometry, Nuclear Physics B 288 578-588 (1987) [doi:10.1016/0550-3213(87)90229-X, inSpire:237516, pdf]

Interpreting elliptic genera as indices of Dirac-Ramond operators as would-be Dirac operators on smooth loop space:

• Orlando Alvarez, Timothy P. Killingback, Michelangelo Mangano, Paul Windey: The Dirac-Ramond operator in string theory and loop space index theorems, Nuclear Phys. B Proc. Suppl., 1A (1987) 189-215 [doi:10.1016/0920-5632(87)90110-1, inSpire:245540]

• Orlando Alvarez, Timothy P. Killingback, Michelangelo Mangano, Paul Windey: String theory and loop space index theorems, Comm. Math. Phys. 111 1 (1987) 1-10 [doi:10.1007/BF01239011, euclid:cmp/1104159462]