Atiyah–Singer index theorem
type: Item
instance of: theorem
Freebase ID: /m/01v_mw
proved by: I. M. Singer
proved by: Michael Atiyah
defining formula: dim ker D − dim coker D = ∫ M ch ( D ) Td ( M )
nLab ID: Atiyah-Singer index theorem
MathWorld ID: Atiyah-SingerIndexTheorem
Microsoft Academic ID: 197617374
OpenAlex ID: C197617374
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
subclass of: Q6482647
ScienceDirect topic ID: mathematics/atiyah-singer-index-theorem
Den Store Danske ID: Atiyah-Singers_indekssætning
part of: list of theorems
Wikidata QID: Q755991
label: Atiyah-Singer-Indexsatz @de
description: theorem that the difference between the dimensions of the kernel and cokernel of a differential operator on a manifold is the integral of a characteristic class
description: mathematischer Satz @de
alternative label: Atiyah-Singer-Indextheorem @de
alternative label: Signatursatz von Hirzebruch @de
alternative label: Satz von Hirzebruch-Riemann-Roch @de