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The Arnold-Gelfand Mathematical Seminars (Hardcover, 1997 ed.)
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The Arnold-Gelfand Mathematical Seminars (Hardcover, 1997 ed.)
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It is very tempting but a little bit dangerous to compare the style
of two great mathematicians or of their schools. I think that it
would be better to compare papers from both schools dedicated to
one area, geometry and to leave conclusions to a reader of this
volume. The collaboration of these two schools is not new. One of
the best mathematics journals Functional Analysis and its
Applications had I.M. Gelfand as its chief editor and V.I. Arnold
as vice-chief editor. Appearances in one issue of the journal
presenting remarkable papers from seminars of Arnold and Gelfand
always left a strong impact on all of mathematics. We hope that
this volume will have a similar impact. Papers from Arnold's
seminar are devoted to three important directions developed by his
school: Symplectic Geometry (F. Lalonde and D. McDuff), Theory of
Singularities and its applications (F. Aicardi, I. Bogaevski, M.
Kazarian), Geometry of Curves and Manifolds (S. Anisov, V.
Chekanov, L. Guieu, E. Mourre and V. Ovsienko, S. Gusein-Zade and
S. Natanzon). A little bit outside of these areas is a very
interesting paper by M. Karoubi Produit cyclique d'espaces et
operations de Steenrod.
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