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

Markl, Martin

Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1993), p. [125]-131 / Harvested from

Résumé

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 $H^{\geq 3} (S; ℚ) = 0$ and $dim H^{*} (S, ℚ) < \infty$ . 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.

MR MR1246626 | Zbl 0807.55008

EUDML-ID : urn:eudml:doc:221013
Mots clés:

@article{701511,
     title = {Formal computations in low-dimensional topology: links and group presentations},
     booktitle = {Proceedings of the Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1993},
     pages = {[125]-131},
     mrnumber = {MR1246626},
     zbl = {0807.55008},
     url = {http://dml.mathdoc.fr/item/701511}
}

Markl, Martin. Formal computations in low-dimensional topology: links and group presentations, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books,  (1993), pp. [125]-131. http://gdmltest.u-ga.fr/item/701511/