63 citations · 205 across the 40 of their papers we have counts for
5 papers · 1 filter
On the semicontinuity of the mod 2 spectrum of hypersurface singularities
Maciej Borodzik, András Némethi, Andrew Ranicki
We use purely topological methods to prove the semicontinuity of the mod 2 spectrum of local isolated hypersurface singularities in , using Seifert forms of high-…
Codimension 2 embeddings, algebraic surgery and Seifert forms
Maciej Borodzik, András Némethi, Andrew Ranicki
We study the cobordism of manifolds with boundary, and its applications to codimension 2 embeddings , using the method of the algebraic theory of surgery. The f…
Morse theory for manifolds with boundary
Maciej Borodzik, András Némethi, Andrew Ranicki
We develop Morse theory for manifolds with boundary. Besides standard and expected facts like the handle cancellation theorem and the Morse lemma for manifolds with boundary, we pr…
The unknotting number and classical invariants II
Maciej Borodzik, Stefan Friedl
In [BF12] the authors associated to a knot K an invariant n_R(K) which is defined using the Blanchfield form and which gives a lower bound on the unknotting number. In this paper w…
The unknotting number and classical invariants I
Maciej Borodzik, Stefan Friedl
Given a knot K we introduce a new invariant coming from the Blanchfield pairing and we show that it gives a lower bound on the unknotting number of K. This lower bound subsumes the…