nLab Atiyah-Bott fixed point formula

under construction

Related entries

• fixed point

• Lefschetz fixed point theorem

• Lawvere's fixed point theorem

• Kleene's fixed point theorem

• Brouwer's fixed point theorem

References

The original articles:

• Michael F. Atiyah, Raoul Bott: A Lefschetz fixed point formula for elliptic differential operators, Bull. Amer. Math. Soc. 72 (1966) 245-250 [doi:10.1090/S0002-9904-1966-11483-0, pdf]

• Michael F. Atiyah, Raoul Bott: A Lefschetz Fixed Point Formula for Elliptic Complexes: I, Annals of Mathematics 86 2 (1967) 374-407 [doi:10.2307/1970694, jstor:1970694]

Review:

• Ezra Getzler: The Atiyah-Bott fixed point formula, in: Raoul Bott: Collected papers, vol. 2: Differential operators, Contemporary Mathematicians, Birkhäuser (1994) xxxi–​xxxiii [pdf, ISBN:978-0-8176-3646-3]

• Loring Tu: Atiyah-Bott fixed point theorem, node 18 in: The life and works of Raoul Bott (2006) [web]

• Wikipedia, Atiyah-BoTT fixed point theorem