Homotopy Lie algebras and fundamental groups via deformation theory

Martin Markl; Stefan Papadima

Annales de l'institut Fourier (1992)

  • Volume: 42, Issue: 4, page 905-935
  • ISSN: 0373-0956

Abstract

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We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as π * Ω S (the homotopy Lie algebra) or gr * π 1 S (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.

How to cite

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Markl, Martin, and Papadima, Stefan. "Homotopy Lie algebras and fundamental groups via deformation theory." Annales de l'institut Fourier 42.4 (1992): 905-935. <http://eudml.org/doc/74979>.

@article{Markl1992,
abstract = {We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as $\pi _ *\Omega S$ (the homotopy Lie algebra) or $\operatorname\{gr\}^*\pi _ 1S$ (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.},
author = {Markl, Martin, Papadima, Stefan},
journal = {Annales de l'institut Fourier},
keywords = {homotopy groups; links; homotopy Lie algebra; fundamental group; rigidity},
language = {eng},
number = {4},
pages = {905-935},
publisher = {Association des Annales de l'Institut Fourier},
title = {Homotopy Lie algebras and fundamental groups via deformation theory},
url = {http://eudml.org/doc/74979},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Markl, Martin
AU - Papadima, Stefan
TI - Homotopy Lie algebras and fundamental groups via deformation theory
JO - Annales de l'institut Fourier
PY - 1992
PB - Association des Annales de l'Institut Fourier
VL - 42
IS - 4
SP - 905
EP - 935
AB - We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as $\pi _ *\Omega S$ (the homotopy Lie algebra) or $\operatorname{gr}^*\pi _ 1S$ (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.
LA - eng
KW - homotopy groups; links; homotopy Lie algebra; fundamental group; rigidity
UR - http://eudml.org/doc/74979
ER -

References

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