In addition, these objects can carry topological charge, which permits them to provide chiral symmetry breaking via the Atiyah-Singer index theorem [3] and the Banks-Casher relation [4]. Thus these ...

Sir Michael was best known for his co-development of a branch of mathematics called topological K-theory and the Atiyah-Singer index theorem.

Michael Atiyah, a British mathematician who united mathematics and physics during the 1960s in a way not seen since the days of Isaac Newton, died Friday. He was 89.

Atiyah, M. and Singer, I.M. (1963) The Index of Elliptic Operators on Compact Manifolds. Bulletin of the American Mathematical Society, 69, 422-433. Login. ... the distribution pattern of twin prime ...

Singer-songwriter Madigan Linnane draws inspiration from The Valley. Madigan Linnane, 20, has been playing guitar since she was 8 and started writing songs when she was 10. She said she has loved ...

Rather than compute a topological invariant, we compute the refractive index as a function of propagation direction, finding that zero index in a complex direction corresponds to one-way propagation.