34 citations · 88 across the 13 of their papers we have counts for
5 papers · 1 filter
Adapted almost invariant sets and splittings of groups
Peter Scott, Gadde Swarup
We prove relative versions of many earlier results about almost invariant sets and splittings of groups. In particular, we prove a relative version of the algebraic torus theorem,…
A proof of a homeomorphism theorem of Waldhausen
Siddhartha Gadgil, Gadde A. Swarup
We give a short proof of Waldhausen's homeomorphism theorem for orientable Haken 3-manifolds.
Canonical splittings of groups and 3-manifolds
Peter Scott, Gadde Swarup
We introduce the notion of a `canonical' splitting over Z or ZxZ for a finitely generated group G. We show that when G happens to be the fundamental group of an orientable Haken ma…
Splittings of groups and intersection numbers
Peter Scott, Gadde A. Swarup
We prove algebraic analogues of the facts that a curve on a surface with self-intersection number zero is homotopic to a cover of a simple curve, and that two simple curves on a su…
Canonical decompositions of 3-manifolds
Walter D. Neumann, Gadde A. Swarup
We describe a new approach to the canonical decompositions of 3-manifolds along tori and annuli due to Jaco-Shalen and Johannson (with ideas from Waldhausen) - the so-called JSJ-de…