nLab Daniel C. Cohen

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Selected writings

On local system-twisted de Rham cohomology over configuration spaces of points (such as for the hypergeometric integral construction of solutions to the Knizhnik-Zamolodchikov equation):

• Daniel C. Cohen, Peter Orlik, Arrangements and local systems, Math. Res. Lett. 7 (2000) 299-316 $[$arXiv:math/9907117, doi:10.4310/MRL.2000.v7.n3.a5$]$

On Gauss-Manin connections over configuration spaces of points:

• Daniel C. Cohen, Peter Orlik, Gauss-Manin Connections for Arrangements, I Eigenvalues, Compositio Math. 136 (2003) 299-316 $[$arXiiv:math/0105063, doi:10.1023/A:1023262022279$]$

• Daniel C. Cohen, Peter Orlik, Gauss-Manin connections for arrangements, II Nonresonant weights, Amer. J. Math. 127 (2005) 569-594 $[$arXiv:math/0207114, jstor:40067930$]$

• Daniel C. Cohen, Peter Orlik, Gauss-Manin connections for arrangements, III Formal connections, Trans. Amer. Math. Soc. 357 (2005) 3031-3050 $[$arXiv:math/0307210, doi:10.1090/S0002-9947-04-03621-9$]$

On Milnor fibration and local systems for arrangements of complex hyperplanes

• Daniel C. Cohen, Alexander I. Suciu, On Milnor fibrations of arrangements, J. London Math. Soc. 51 (1995) 105–119; MR96e:32034 doi

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 topological complexity of connected sums:

• Daniel C. Cohen, Lucile Vandembroucq, Motion planning in connected sums of real projective spaces (2018), arXiv:1807.09947

On topological complexity of the Klein bottle:

• Daniel C. Cohen, Lucile Vandembroucq, Topological Complexity of the Klein bottle (2018), arXiv:1612.03133v3

category: people