Atiyah–Singer index theorem

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

Wikidata entity: Q755991

P2534 defining formula Math dim⁡ker⁡D−dim⁡coker⁡D=∫Mch⁡(D)Td⁡(M) ???
P31 instance of ... Q65943 (theorem) theorem
P6104 maintained by WikiProject ... Q8487137 (WikiProject Mathematics) WikiProject Mathematics
P5008 on focus list of Wikimedia project ... Q6173448 (Wikipedia:Vital articles/Level/4) Wikipedia:Vital articles/Level/4
P361 part of ... Q944443 (list of theorems) list of theorems
P1318 proved by ... Q208356 (Michael Atiyah) Michael Atiyah
P1318 proved by ... Q353407 (Isadore Singer) Isadore Singer
P279 subclass of ... Q114213185 (???) ???
External Ids
P646Freebase ID/m/01v_mw
P8313Lex IDAtiyah-Singers_indekssætning
P2812MathWorld IDAtiyah-SingerIndexTheorem
P6366Microsoft Academic ID (discontinued)197617374
P4215nLab IDAtiyah-Singer index theorem
P10283OpenAlex IDC197617374
P10376ScienceDirect topic IDmathematics/atiyah-singer-index-theorem

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