Sir Michael Atiyah was a British-Lebanese mathematician, a Fields’ medalist, and Abel prize winner (with Isadore Singer). He was professor of mathematics at Edinburgh University.
Notices of the AMS, Memories of Sir Michael Atiyah (pdf, pdf)
Alain Connes, Joseph Kouneiher, Sir Michael Atiyah, a Knight Mathematician A tribute to Michael Atiyah, an inspiration and a friend (arxiv:1910.07851)
Nigel Hitchin, Sir Michael Atiyah OM. 22 April 1929–11 January 2019, Biographical Memoirs of the FRS, September 2020 (doi:10.1098/rsbm.2020.0001)
Nigel Hitchin, Michael Atiyah: Geometry and Physics, 2020 (pdf, pdf)
Introducing topological K-theory:
M. F. Atiyah, F. Hirzebruch, Riemann-Roch theorems for differentiable manifolds, Bull. Amer. Math Soc. vol. 65 (1959) pp. 276-281 (euclid:bams/1183523205)
M. F. Atiyah, F. Hirzebruch, Vector bundles and homogeneous spaces, 1961, Proc. Sympos. Pure Math., Vol. III pp. 7–38 American Mathematical Society, Providence, R.I. (doi:10.1142/9789814401319_0008, web, MR 0139181)
Michael Atiyah, K-theory, Harvard Lecture 1964 (notes by D. W. Anderson), Benjamin 1967 (pdf, pdf)
Introducing cobordism cohomology theory MSO:
Introducing the Atiyah-Bott-Shapiro orientation MSpinKO and MSpincKU:
Introducing what came to be known as Karoubi K-theory:
On Bott periodicity:
On the KO-theory of complex projective 3-space:
Introducing the ADHM construction for Yang-Mills instantons:
On quantum anomalies via index theory:
On moment maps, equivariant de Rham cohomology and equivariant localization:
On group characters and group cohomology of finite groups:
On the Atiyah-Hirzebruch spectral sequence
On KR-theory
On equivariant K-theory and the Atiyah-Segal completion theorem:
Michael Atiyah, John David Stuart Jones, Topological aspects of Yang-Mills theory, Comm. Math. Phys. Volume 61, Number 2 (1978), 97-118 (arXiv:1103904210)
Michael Atiyah, Instantons in two and four dimensions, Commun. Math. Phys. 93, 437–451 (1984) (doi:10.1007/BF01212288)
On the moduli spaces of Yang-Mills monopoles:
On knot theory and Chern-Simons theory:
On skyrmions from KK-reduction of instantons in D=5 Yang-Mills theory (hadron Kaluza-Klein theory):
and in a variant on hyperbolic space:
On the Clay Millennium Problems
Introducing the Atiyah-Sutcliffe conjecture:
Michael F. Atiyah, Paul M. Sutcliffe, The geometry of point particles, Proc. Roy. Soc. London Ser. A 458 (2002), 1089–1115 (hep-th/0105179, doi:10.1098/rspa.2001.0913)
Michael Atiyah, Joseph Malkoun, The Relativistic Geometry and Dynamics of Electrons, Found Phys 48, 199–208 (2018) (doi:10.1007/s10701-018-0139-2)
On the Arnold-Kuiper-Massey theorem and its further generalization to the 13-sphere being an Sp(1)-quotient of the octonionic projective plane:
On twisted K-theory and twisted equivariant K-theory:
On The Unreasonable Effectiveness of Physics in the Mathematical Sciences:
On patterns in the characteristic classes (Chern classes) of complex surfaces, together with some speculations about an anlogy with atomic number of atomic nuclei (inspired by hadron Kaluza-Klein theory):
Michael Atiyah, Nicholas Manton, Bernd Schroers, Geometric Models of Matter, Proceedings of the Royal Society A (arXiv:1108.5151, doi:10.1098/rspa.2011.0616)
Michael Atiyah, Nicholas Manton, Complex Geometry of Nuclei and Atoms, International Journal of Modern Physics AVol. 33, No. 24, 1830022 (2018) (arXiv:1609.02816, doi:10.1142/S0217751X18300223)
Michael Atiyah, Geometric Models of Helium, Modern Physics Letters AVol. 32, No. 14, 1750079 (2017) (arXiv:1703.02532, doi:10.1142/S0217732317500791)
On twistors:
The aim of theory really is, to a great extent, that of systematically organizing past experience in such a way that the next generation, our students and their students and so on, will be able to absorb the essential aspects in as painless a way as possible, and this is the only way in which you can go on cumulatively building up any kind of scientific activity without eventually coming to a dead end.
(M.F. Atiyah, “How research is carried out”, Bull. IMA., 10:232–234, 1974)
…many more…
Last revised on August 11, 2023 at 13:29:56. See the history of this page for a list of all contributions to it.