Atiyah–Singer index theorem

Summary

Atiyah–Singer index theorem is a theorem^[1]. It ranks in the top 9% of theorem entities by monthly Wikipedia readership (195 views/month).^[2]

Key Facts

• Atiyah–Singer index theorem's instance of is recorded as theorem^[3].
• Atiyah–Singer index theorem's subclass of is recorded as Q114213185^[4].
• Atiyah–Singer index theorem's part of is recorded as list of theorems^[5].
• Atiyah–Singer index theorem's Freebase ID is recorded as /m/01v_mw^[6].
• Atiyah–Singer index theorem's proved by is recorded as Michael Atiyah^[7].
• Atiyah–Singer index theorem's proved by is recorded as Isadore Singer^[8].
• Atiyah–Singer index theorem's defining formula is recorded as \dim\ker D - \dim\operatorname{coker}D = \int_M \operatorname{ch}(D)\operatorname{Td}(M)^[9].
• Atiyah–Singer index theorem's MathWorld ID is recorded as Atiyah-SingerIndexTheorem^[10].
• Atiyah–Singer index theorem's nLab ID is recorded as Atiyah-Singer index theorem^[11].
• Atiyah–Singer index theorem's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4^[12].
• Atiyah–Singer index theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• Atiyah–Singer index theorem's Microsoft Academic ID is recorded as 197617374^[14].
• Atiyah–Singer index theorem's Lex ID is recorded as Atiyah-Singers_indekssætning^[15].
• Atiyah–Singer index theorem's OpenAlex ID is recorded as C197617374^[16].
• Atiyah–Singer index theorem's ScienceDirect topic ID is recorded as mathematics/atiyah-singer-index-theorem^[17].

Why It Matters

Atiyah–Singer index theorem ranks in the top 9% of theorem entities by monthly Wikipedia readership (195 views/month).^[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.^[18] It is known by 16 alternative names across languages and contexts.^[19]