Knot theory is a rapidly developing field of research with many applications not only for
mathematics. The present volume, written by a well-known specialist, gives a complete …

Singularity theory is a field of intensive study in modern mathematics with fascinating
relations to algebraic geometry, complex analysis, commutative algebra, representation …

Even the simplest singularities of planar curves, eg where the curve crosses itself, or where
it forms a cusp, are best understood in terms of complex numbers. The full treatment uses …

For an oriented link $ L\subset {S^ 3}=\partial {D^ 4} $, let ${\chi _s}{\text {(}} L {\text {)}} $ be
the greatest Euler characteristic $\chi (F) $ of an oriented 2-manifold F (without closed …

Progress in low-dimensional topology has been very quick in the last three decades, leading
to the solutions of many difficult problems. Among the earlier highlights of this period was …

Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the
3-sphere. These objects may look rather special but they have played an outstanding role in …

We continue our study of the knot Floer homology invariants of cable knots. For large| n|, we
prove that many of the filtered subcomplexes in the knot Floer homology filtration associated …

In the context of 3-manifolds, determining the asymptotic expansion of the Witten–
Reshetikhin–Turaev invariants and constructing the topological field theory that provides …

L'analogue complexe de ce resultat est immediat: en effet en utilisant (*), si f est un
polynome a coefficients complexes, il est facile de voir que les poles du courant If 12S D …

Let X be the link of a normal complete intersection surface singularity and let F be the
associated Milnor fiber. Thus, X is a closed oriented 3-manifold and F is a compact, simply …