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On the compactification of configuration spaces. (English) Zbl 0937.18011
Slovák, Jan (ed.) et al., Proceedings of the 17th winter school “Geometry and physics”, Srní, Czech Republic, January 11-18, 1997. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 54, 83-90 (1998).
The article contains a list of 7 problems related to operads and configuration spaces. Problems 1-2 are about the compactification of configuration spaces (homology and Koszulness, geometric decompositions). Problems 3-4 are about configuration spaces related to knot invariants, their geometry and Koszulness. Problems 5 to 7 are related to (operadically defined) traces and cyclic homology.
For the entire collection see [Zbl 0904.00040].
##### MSC:
 18D50 Operads (MSC2010) 57N65 Algebraic topology of manifolds 57M25 Knots and links in the $$3$$-sphere (MSC2010) 55N35 Other homology theories in algebraic topology
##### Keywords:
operads; configuration spaces; Koszulness; traces; cyclic homology