A bstract Motivated by physical constructions of homological knot invariants, we study their
analogs for closed 3-manifolds. We show that fivebrane compactifications provide a …

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 …

The main goal of the present article is the computation of the Heegaard Floer homology
introduced by Ozsváth and Szabó for a family of plumbed rational homology 3–spheres. The …

Three-dimensional topology includes two vast domains: the study of geometric structures on
3-manifolds and the study of topological invariants of 3-manifolds, knots, etc. This book …

This book has been awarded the Ferran Sunyer i Balaguer 2005 prize. The aim of this book
is to give an overview of selected topics on the topology of real and complex isolated …

Bibliography Page 1 Bibliography [1] MF Atiyah, R. Bott: A Lefschetz fixed point formula for
elliptic complexes II. Applications, Ann. of Math. 88 (1968), 451–491. [2] MF Atiyah, VK Patodi …

Milnor's fibration theorem is about the geometry and topology of real and complex analytic
maps near their critical points, a ubiquitous theme in mathematics. As such, after 50 years …

For any negative definite plumbed 3-manifold M we construct from its plumbed graph a
graded Z [U]-module. This, for rational homology spheres, conjecturally equals the …

The present article aims to discuss the graded roots introduced by the author in his study of
the topology of normal surface singularities. In the body of the paper we emphasize two …

The aim of this paper is to consider a possible extension of the Bogomolov--Miyaoka--Yau
inequality to differentiable orbifolds. The conjectured extension is related to the Montgomery …