nLab Frederick R. Cohen

not to be confused with Ralph Cohen.

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• personal page

• Mathematics Genealogy page

Selected writings

On configuration spaces of points:

• Frederick R. Cohen: Introduction to configuration spaces and their applications, in: Braids Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore 19 (2009) 183-261 [doi:10.1142/9789814291415_0003, doi:10.1142/7550, pdf, pdf]

On the real cohomology of (the Fulton-MacPherson compactification of) configuration spaces of ordered points in Euclidean space:

• Fred Cohen, Cohomology of braid spaces, Bull. Amer. Math. Soc. Volume 79, Number 4 (1973) 763-766 (euclid:1183534761)

• Fred Cohen, The homology of $C_{n+1}$-Spaces, $n \geq 0$, In: The Homology of Iterated Loop Spaces, Lecture Notes in Mathematics, vol 533. Springer 1976 (doi:10.1007/BFb0080467)

On G-structure for $G = Br_\infty$ the infinite braid group:

• Frederick R. Cohen, Braid orientations and bundles with flat connections, Inventiones mathematicae 46 (1978) 99–110 [doi:10.1007/BF01393249]

On the ordinary cohomology of configuration spaces of points (such as in surfaces and knot complements):

• Carl-Friedrich Bödigheimer, Fred Cohen, L. Taylor, On the homology of configuration spaces, Topology Vol. 28 No. 1, p. 111-123 1989 (pdf)

On the ordinary homology of loop spaces of configuration spaces of points and their relation to Vassiliev invariants:

• Fred Cohen, Samuel Gitler, Loop spaces of configuration spaces, braid-like groups, and knots, In: Jaume Aguadé, Carles Broto, Carles Casacuberta (eds.) Cohomological Methods in Homotopy Theory. Progress in Mathematics, vol 196. Birkhäuser, Basel (doi:10.1007/978-3-0348-8312-2_7)

• Fred Cohen, Samuel Gitler, On loop spaces of configuration spaces, Trans. Amer. Math. Soc. 354 (2002), no. 5, 1705–1748, (jstor:2693715, MR2002m:55020)

On braid group representations seen in the topological K-theory of the classifying space of the braid group:

• Alejandro Adem, Daniel C. Cohen, Frederick R. Cohen, On representations and K-theory of the braid groups, Math. Ann. 326 (2003) 515-542 (arXiv:math/0110138, doi:10.1007/s00208-003-0435-8)

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

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

• 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 the group cohomology of $SL_2(\mathbb{Z})$:

• Filippo Callegaro, Fred Cohen, Mario Salvetti: The cohomology of the braid group $B_3$ and of $SL_2(\mathbb{Z})$ with coefficients in a geometric representation, in: Configuration Spaces, CRM Series. Edizioni della Normale, Pisa (2012) [arXiv:1204.5390, doi:10.1007/978-88-7642-431-1_8]

On mapping spaces of group homomorphisms from finitely generated discrete groups to Lie groups:

• Frederick R. Cohen, Mentor Stafa, A survey on spaces of homomorphisms to Lie groups, In: Callegaro F., Cohen F., De Concini C., Feichtner E., Gaiffi G., Salvetti M. (eds.) Configuration Spaces, INdAM Series, vol 14, Springer 2016 (arXiv:1412.5668, doi:10.1007/978-3-319-31580-5_15)

category: people