63 citations · 205 across the 40 of their papers we have counts for
8 papers · 1 filter
Embedded Morse theory and relative splitting of cobordisms of manifolds
Maciej Borodzik, Mark Powell
We prove that an embedded cobordism between manifolds with boundary can be split into a sequence of right product and left product cobordisms, if the codimension of the embedding i…
On the algebraic unknotting number
Maciej Borodzik, Stefan Friedl
The algebraic unknotting number u_a(K) of a knot K was introduced by Hitoshi Murakami. It equals the minimal number of crossing changes needed to turn K into an Alexander polynomia…
The Hodge spectrum of analytic germs on isolated surface singularities
Maciej Borodzik, András Némethi
We use topological methods to prove a semicontinuity property of the Hodge spectra for analytic germs defined on an isolated surface singularity. For this we introduce an analogue…
Tiling the integer lattice with translated sublattices
Maciej Borodzik, Danny Nguyen, Sinai Robins
When is represented as a finite disjoint union of translated integer sublattices, the translated sublattices must possess some special properties. Such a representat…
Semigroups, d-invariants and deformations of cuspidal singular points of plane curves
Maciej Borodzik, Charles Livingston
We apply Heegaard Floer homology to study deformations of singularities of plane algebraic curves. Our main result provides an obstruction to the existence of a deformation between…
The average signature of graph links
Maciej Borodzik, Jadwiga Sosnowska
We compute the average Tristram---Levine signature of any graph link with positive weights in a three sphere, generalizing the results of Kirby and Melvin. The main tools are the N…