nLab Dusa McDuff

Dusa McDuff is a English mathematician, who worked in the USA. She has proved profound results in operator algebra and differential geometry. In recent years she has concentrated on symplectic, contact geometry and symplectic topology.

• institute page

• Lauren Love: Dusa McDuff

• autobiographical notes

• Wikipedia entry

• MathGenealogy page

Selected writings

On the group completion theorem:

• Dusa McDuff, Graeme Segal, Homology fibrations and the “group-completion” theorem, Inventiones mathematicae, October 1976, Volume 31, Issue 3, pp 279–284 (doi:10.1007/BF01403148)

On configuration spaces of points:

• Dusa McDuff, Configuration spaces of positive and negative particles, Topology 14 1 (1975) 91-107 [doi:10.1016/0040-9383(75)90038-5]

• Dusa McDuff: Configuration Spaces, in: K-Theory and Operator Algebras, Lecture Notes in Mathematics 575 Springer (1977) 88-95 [doi:10.1007/BFb0095704, pdf]

On volume-preserving diffeomorphisms of Cartesian spaces:

• Dusa McDuff: On the Group of Volume-Preserving Diffeomorphisms of $\mathbf{R}^n$, Transactions of the AMS 261 1 (1980) [doi:10.1090/S0002-9947-1980-0576866-3]

On symplectic topology:

• Dusa McDuff, Dietmar Salamon: Introduction to symplectic topology, Oxford Mathematical Monographs, Oxford University Press (1998, 2017) [doi:10.1093/oso/9780198794899.001.0001]

• Dusa McDuff, Dietmar Salamon: J-holomorphic curves and symplectic topology, AMS Colloquium Publications 52 (2004) [ams:coll-52-r]

On quantum cohomology:

• Dusa McDuff, Dietmar Salamon: J-holomorphic curves and quantum cohomology, University Lecture Series 6, AMS (1994) [revised pdf, 1995 pdf]

category: people