nLab Ralph Cohen

not to be confused with Fred Cohen.

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• website

Selected writings

On cyclic loop spaces:

• Ralph Cohen, p. 194 of: A Model for the Free Loop Space of a Suspension, in: Haynes Miller, Douglas Ravenel (eds.), Algebraic Topology, Lecture Notes in Mathematics 1286, Springer 1985 (doi:10.1007/BFb0078743)

• Gunnar Carlsson, Ralph Cohen, The cyclic groups and the free loop space, Commentarii Mathematici Helvetici 62 (1987) 423–449 (doi:10.1007/BF02564455, dml:140092)

On Yang-Mills monopoles and braid groups:

• Ralph Cohen, John D. S. Jones, Monopoles, braid groups, and the Dirac operator, Comm. Math. Phys. Volume 158, Number 2 (1993), 241-266 (euclid:cmp/1104254240)

On string topology:

• Ralph Cohen, John R. Klein, Dennis Sullivan, The homotopy invariance of the string topology loop product and string bracket, J. of Topology 2008 1(2):391-408; doi

• Ralph Cohen, Homotopy and geometric perspectives on string topology (pdf)

• Ralph Cohen, John David Stuart Jones, A homotopy theoretic realization of string topology , Math. Ann. 324

  (2002), no. 4, (arXiv:0107187)

• Ralph Cohen, Veronique Godin, A Polarized View of String Topology (arXiv:math/0303003)

• Ralph Cohen, Alexander Voronov, Notes on string topology, in: Ralph Cohen, Kathryn Hess, Alexander Voronov, String topology and cyclic homology, Advanced courses in mathematics CRM Barcelona, Birkhäuser 2006 (math.GT/05036259, doi:10.1007/3-7643-7388-1, pdf)

• Ralph Cohen, John Jones, Gauge theory and string topology (arXiv:1304.0613)

On the homotopy type of spaces of rational maps and moduli spaces of monopoles related to braid groups:

• Fred Cohen, Ralph Cohen, Benjamin M. Mann, R. James Milgram, The topology of rational functions and divisors of surfaces, Acta Math (1991) 166: 163 (doi:10.1007/BF02398886)

• Ralph L. Cohen, Don H. Shimamoto, Rational Functions, Labelled Configurations, and Hilbert Schemes, Journal of the London Mathematical Socienty 43 2 (1991) 509-528 (doi:10.1112/jlms/s2-43.3.509)

• Ralph Cohen, John D. S. Jones, Monopoles, braid groups, and the Dirac operator, Comm. Math. Phys. Volume 158, Number 2 (1993), 241-266 (euclid:cmp/1104254240)

• Ralph L. Cohen, John D. S. Jones, Graeme B. Segal, Stability for holomorphic spheres and Morse theory, in: K. Grove, I. H. Madsen, E. K. Pedersen (eds.) Geometry and Topology: Aarhus, Contemporary Mathematics

  Volume: 258 (2000) (arXiv:math/9904185, ISBN:978-0-8218-2158-9)

and more generally on moduli spaces:

• Ralph Cohen, Stability phenomena in the topology of moduli spaces (arXiv:0908.1938)

On string topology (and Pontrjagin rings of based loop spaces) of complex projective spaces and n-spheres:

• Ralph L. Cohen, John D. S. Jones, Jun Yan, The loop homology algebra of spheres and projective spaces, in Categorical Decomposition Techniques in Algebraic Topology, Progress in Mathematics 215, Birkhäuser (2003) [arXiv:math/0210353, doi:10.1007/978-3-0348-7863-0_5]

category: people