Formal computations in low-dimensional topology: links and group presentations

Markl, Martin

  • Proceedings of the Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [125]-131

Abstract

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The author describes the moduli space of Sullivan models of 2-skeletal spaces and complements of links as quotients of spaces of derivations of finitely generated free Lie algebras L by the action of a subgroup of automorphisms of L . For recall, a 2-skeletal space is a path connected space S satisfying H 3 ( S ; ) = 0 and dim H * ( S , ) < . The paper contains as an application a complete description of the Lie algebras associated to the fundamental groups of complements of two-component links in terms of their Milnor numbers.

How to cite

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Markl, Martin. "Formal computations in low-dimensional topology: links and group presentations." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1993. [125]-131. <http://eudml.org/doc/221013>.

@inProceedings{Markl1993,
abstract = {The author describes the moduli space of Sullivan models of 2-skeletal spaces and complements of links as quotients of spaces of derivations of finitely generated free Lie algebras $L$ by the action of a subgroup of automorphisms of $L$. For recall, a 2-skeletal space is a path connected space $S$ satisfying $H^\{\ge 3\} (S;\mathbb \{Q\}) = 0$ and $\dim H^* (S, \mathbb \{Q\}) < \infty $. The paper contains as an application a complete description of the Lie algebras associated to the fundamental groups of complements of two-component links in terms of their Milnor numbers.},
author = {Markl, Martin},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Srní (Czechoslovakia); Physics},
location = {Palermo},
pages = {[125]-131},
publisher = {Circolo Matematico di Palermo},
title = {Formal computations in low-dimensional topology: links and group presentations},
url = {http://eudml.org/doc/221013},
year = {1993},
}

TY - CLSWK
AU - Markl, Martin
TI - Formal computations in low-dimensional topology: links and group presentations
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1993
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [125]
EP - 131
AB - The author describes the moduli space of Sullivan models of 2-skeletal spaces and complements of links as quotients of spaces of derivations of finitely generated free Lie algebras $L$ by the action of a subgroup of automorphisms of $L$. For recall, a 2-skeletal space is a path connected space $S$ satisfying $H^{\ge 3} (S;\mathbb {Q}) = 0$ and $\dim H^* (S, \mathbb {Q}) < \infty $. The paper contains as an application a complete description of the Lie algebras associated to the fundamental groups of complements of two-component links in terms of their Milnor numbers.
KW - Proceedings; Geometry; Srní (Czechoslovakia); Physics
UR - http://eudml.org/doc/221013
ER -

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