title: Geometry and physics.
abstract: We review the remarkably fruitful interactions between mathematics and quantum physics in the past decades, pointing out some general trends and highlighting several examples, such as the counting of curves in algebraic geometry, invariants of knots and four-dimensional topology.
authors.affiliation: School of Mathematics, University of Edinburgh, , Edinburgh EH9 3JZ, UK.
authors.forename: Michael
authors.initials: M
authors.lastname: Atiyah
authors.forename: Robbert
authors.initials: R
authors.lastname: Dijkgraaf
authors.forename: Nigel
authors.initials: N
authors.lastname: Hitchin