Resolutions of discriminants and topology of their complements [chapter]

Victor Vassiliev
2001 New Developments in Singularity Theory  
We study topological invariants of spaces of nonsingular geometrical objects (such as knots, operators, functions, varieties) defined by the linking numbers with appropriate cycles in the complementary discriminant sets of degenerate objects. We describe the main construction of such classes (based on the conical resolutions of discriminants) and list the results for a number of examples.
doi:10.1007/978-94-010-0834-1_4 fatcat:pi5cthiopjd37ish6gttf74goa