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Geometry and Applications
March 13-16, 2000
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University
Novosibirsk, Russia

Organizers
Yu.G. Rushetnyak (Chair of Program Committee; Russia), V.V. Vershinin (Chair of Organizing Committee; Russia), A.A. Borisenko (Ukraine), Yu.D. Burago (Russia), V.M. Gol'dshtein (Israel), M.L. Gromov (France), I.G. Nikolaev (USA/Russia), S.P. Novikov (USA/Russia), A.V. Pogorelov (Ukraine), I.Kh. Sabitov (Russia)

Almost trivial links of codimensions greater than two
by
Vladimir Mikhajlovich Nezhinskij
St.-Petersburg State University/MPI

[12pt] article Almost trivial links of codimensions greater than two

Almost trivial links of codimensions greater than two

A (topological) link (f₁ : S^p₁ --> Sⁿ, ..., f_r S^p_r --> Sⁿ) is almost trivial if any sublink (f₁, ..., f_i-1, f_i+1, ..., f_r) is pseudo-homotopic to a trivial link.

For the case p₁=... = p_r=1 and n=3 J.Milnor (see J.Milnor, Link groups, Ann. of Math., vol.59,

No.2, 1954, p.177-195) constructed the complete set of (pseudo-)homotopic invariants of almost trivial links. (These invariants are known now as \mu-invariants.)

We study the case n-p_i > 2 (i=1, ..., r). The aim of the talk is to construct for this case an analogous set of pseudo-homotopic invariants of almost trivial links which is complete at least for

p₁+...+p_r+ max {p₁, ..., p_r} < r(n-2)+1.

Date received: February 17, 2000