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Algebraic structure in the loop space homology Bockstein spectral sequence
Author(s):
Jonathan
A.
Scott
Journal:
Trans. Amer. Math. Soc.
354
(2002),
3075-3084.
MSC (2000):
Primary 55P35;
Secondary 16S30
Posted:
April 1, 2002
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Abstract:
Let  be a finite,  -dimensional,  -connected CW complex. We prove the following theorem: If  is an odd prime, then the loop space homology Bockstein spectral sequence modulo  is a spectral sequence of universal enveloping algebras over differential graded Lie algebras.
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Additional Information:
Jonathan
A.
Scott
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 3G3, Canada
Address at time of publication:
Aberdeen Topology Centre, Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
Email:
j.scott@maths.abdn.ac.uk
DOI:
10.1090/S0002-9947-02-02971-9
PII:
S 0002-9947(02)02971-9
Keywords:
Loop space homology,
Bockstein spectral sequence,
universal enveloping algebra
Received by editor(s):
November 1, 2001
Posted:
April 1, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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