6 citations · 7 across the 5 of their papers we have counts for
4 papers · 1 filter
On the total curvature of semialgebraic graphs
Liviu I. Nicolaescu
We define the total curvature of a semialgebraic embedding of a graph in the 3-dimensional Euclidean space. We prove that it satisfies a Chern-Lashof type inequality and we describ…
Tame Flows
Liviu I. Nicolaescu
The tame flows are ``nice'' flows on ``nice'' spaces. The nice (tame) sets are the pfaffian sets introduced by Khovanski, and a flow on pfaffian set $X…
Seiberg-Witten invariants of rational homology spheres
Liviu I. Nicolaescu
We prove that the Seiberg-Witten invariants of a rational homology sphere are determined in a very explicit fashion by the Casson-Walker invariant and the Reidemeister torsion
On the Reidemeister torsion of rational homology spheres
Liviu I. Nicolaescu
We prove that the mod Z reduction of the torsion of a rational homology 3-sphere is completely determined by three data: a certain canonical spin^c structure, the linking form and…