The homotopy invariance of the string topology loop product and string bracket

Author:

Cohen Ralph L.1,Klein John R.2,Sullivan Dennis3

Affiliation:

1. Department of Mathematics; Stanford University; Stanford CA 94305 USA

2. Department of Mathematics; Wayne State University; Detroit MI 48202 USA

3. Mathematics Department; SUNY; Stony Brook NY 11794 USA

Publisher

Wiley

Subject

Geometry and Topology

Reference27 articles.

1. A. Adem R. L. Cohen W. G. Dwyer Generalized Tate homology, homotopy fixed points and the transfer Algebraic topology 1989 Providence American Mathematical Society, RI 1 13 Contemporary Mathematics 96 Evanston, IL, 1988

2. On the homotopy invariance of configuration spaces;Aouina;Algebr. Geom. Topol.,2004

3. Truncated symmetric products and configuration spaces;Bodigheimer;Math. Z.,1993

4. M. Chas D. Sullivan Closed string operators in topology leading to Lie bialgebras and higher string algebra Preprint, arXiv:math.GT/0212358

5. M. Chas D. Sullivan String topology Ann. of Math to appear

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2. On the string topology coproduct for Lie groups;Homology, Homotopy and Applications;2022

3. Nearly Frobenius algebras;European Journal of Mathematics;2019-07-22

4. A tower connecting gauge groups to string topology;Journal of Topology;2015-04-01

5. An algebraic chain model of string topology;Transactions of the American Mathematical Society;2012-05-01

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