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A∞-coalgebra structure maps that vanish on H∗(K(π, n); ℤp)
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Ainhoa Berciano
Published/Copyright:
February 8, 2010
Abstract
In this article, we study the structure maps of the A∞ coalgebra structure for the homology H∗(K(π, n); ℤp) of an Eilenberg-Mac Lane space K(π, n), where π is a finitely generated abelian group, n is a positive integer and p is a prime number different to 2. Using diverse techniques of homological perturbation, we obtain that all the components of Δi vanish except for Δi(p–2)+2 of degree i(p–2) and i ≥ 0.
Received: 2007-02-28
Revised: 2008-02-22
Revised: 2008-03-16
Published Online: 2010-02-08
Published in Print: 2010-March
© de Gruyter 2010
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- Calculation of UNil for the cyclic group of order two
- Lie theoretic significance of the measure topologies associated with a finite trace
- Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
- The finiteness of NK1(ℤ[G])
- Poincaré duality pairs of dimension three
- Optimal quantization of probabilities concentrated on small balls
- A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ
- Homological localizations of Eilenberg–MacLane spectra
- A∞-coalgebra structure maps that vanish on H∗(K(π, n); ℤp)
- The cohomology groups of the outer Whitehead automorphism group of a free product
- Dual topology of the motion groups
Articles in the same Issue
- Lp estimates for parabolic magnetic Schrödinger operators
- Calculation of UNil for the cyclic group of order two
- Lie theoretic significance of the measure topologies associated with a finite trace
- Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
- The finiteness of NK1(ℤ[G])
- Poincaré duality pairs of dimension three
- Optimal quantization of probabilities concentrated on small balls
- A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ
- Homological localizations of Eilenberg–MacLane spectra
- A∞-coalgebra structure maps that vanish on H∗(K(π, n); ℤp)
- The cohomology groups of the outer Whitehead automorphism group of a free product
- Dual topology of the motion groups
