Homotopy Lie algebras and fundamental groups via deformation theory. (English) Zbl 0760.55010
We formulate first results of our larger project bsed 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 \(\text{gr}^*\pi_ 1S\) (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.
Reviewer: M.Markl (Praha)
MSC:
| 55Q05 | Homotopy groups, general; sets of homotopy classes |
| 57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
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