Sir Michael Atiyah OM. 22 April 1929–11 January 2019

  title={Sir Michael Atiyah OM. 22 April 1929–11 January 2019},
  author={Nigel James Hitchin},
  journal={Biographical Memoirs of Fellows of the Royal Society},
  • N. Hitchin
  • Published 2 September 2020
  • Physics
  • Biographical Memoirs of Fellows of the Royal Society
Michael Atiyah was the dominant figure in UK mathematics in the latter half of the twentieth century. He made outstanding contributions to geometry, topology, global analysis and, particularly over the last 30 years, to theoretical physics. Not only was he held in high esteem at a worldwide level, winning a Fields Medal in 1966, the Abel Prize in 2004 and innumerable other international awards, but his irrepressible energy and broad interests led him to take on many national roles too… 


The Yang-Mills equations over Riemann surfaces
  • M. Atiyah, R. Bott
  • Mathematics
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1983
The Yang-Mills functional over a Riemann surface is studied from the point of view of Morse theory. The main result is that this is a ‘perfect' functional provided due account is taken of its gauge
The Geometry and Physics of Knots
Preface 1. History and background 2. Topological quantum field theories 3. Non-abelian moduli spaces 4. Symplectic quotients 5. The infinite-dimensional case 6. Projective flatness 7. The Feynman
Z2 topological order and the quantum spin Hall effect.
The Z2 order of the QSH phase is established in the two band model of graphene and a generalization of the formalism applicable to multiband and interacting systems is proposed.