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Michael Atiyah

  1. Vector Bundles Over an Elliptic Curve
    1957/01/01 by M. F. Atiyah, Michael Atiyah · 85 citations
    Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #advanced mathematical theories
  2. Construction of instantons
    1978/03/01 by M.F. Atiyah, Michael Atiyah, N.J. Hitchin +5 · 41 citations
    Engineering · #Superconducting Materials and Applications
  3. A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications
    1968/11/01 by M. F. Atiyah, Michael Atiyah, R. Bott · 12 citations
    Computer Science · Mathematics · Chemistry · #Topological and Geometric Data Analysis #Graph theory and applications #Axial and Atropisomeric Chirality Synthesis
  4. On the heat equation and the index theorem
    1973/12/01 by M. Atiyah, Michael Atiyah, R. Bott +1 · 16 citations
    Mathematics · Computer Science · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Matrix Theory and Algorithms #Quantum chaos and dynamical systems
  5. Twisted K-theory
    2004/07/05 by Michael Atiyah, Graeme Segal, Atiyah, Michael +1 · 4 citations
    Physics and Astronomy · #55N15 #Black Holes and Theoretical Physics #FOS: Mathematics #K-Theory and Homology (math.KT) #Particle physics theoretical and experimental studies
  6. Twisted K-theory and cohomology
    2005/10/31 by Michael Atiyah, Graeme Segal, Atiyah, Michael +1 · 2 citations
    Mathematics · #55N15 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
  7. Nahm's equations, configuration spaces and flag manifolds
    2001/10/10 by Michael Atiyah, Roger Bielawski, Atiyah, Michael +1 · 1 citation
    Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT) #math.DG #math.RT
  8. A Variant of K-theory: K+-
    2003/02/11 by Michael Atiyah, Atiyah, Michael, Michael Hopkins +1 · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #K-Theory and Homology (math.KT) #hep-th #math.KT
  9. Twistor theory at fifty: from contour integrals to twistor strings.
    2017/10/01 by Michael Atiyah, Maciej Dunajski, Atiyah, Michael +3 · 1 citation
    Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories