Advances in Soviet Mathematics 1994; 262 pp; hardcover Volume: 21 ISBN10: 0821802372 ISBN13: 9780821802373 List Price: US$129 Member Price: US$103.20 Order Code: ADVSOV/21
 This book contains papers growing out of recent work of the Singularity Seminar at Moscow State University. The main topic of most of the papers is the analysis of singularities of discriminant hypersurfaces formed by the degenerate objects in different spaces of mappings. Among the topics covered are: the space of mappings of the circle to threespace; invariants, bifurcations, and classifications of plane curves; algebraic invariants of the Morse complex; complex boundary singularities; spaces of morsifications of singularities; and the number of singular points on a complex projective hypersurface. Readership Undergraduate students in mathematics, active researchers, physicists specializing in quantum field theory. Table of Contents  F. Aicardi  Treelike curves
 V. I. Arnold  Plane curves, their invariants, perestroikas and classifications
 S. A. Barannikov  The framed Morse complex and its invariants
 S. V. Chmutov, S. V. Duzhin, and S. K. Lando  Vassiliev knot invariants I. Introduction
 S. V. Chmutov, S. V. Duzhin, and S. K. Lando  Vassiliev knot invariants II. Intersection graph conjecture for trees
 S. V. Chmutov, S. V. Duzhin, and S. K. Lando  Vassiliev knot invariants III. Forest algebra and weighted graphs
 V. V. Goryunov  Symmetric quartics with many nodes
 V. V. Goryunov  Subprincipal Springer cones and morsifications of Laurent polynomials and \(D_\mu\) singularities
 S. M. GuseinZade  On the enumeration of curves from infinity to infinity
 A. B. Merkov  On the classification of ornaments
 I. Shcherbak and A. Szpirglas  Boundary singularities: Topology and duality
 V. A. Vassiliev  Invariants of ornaments
