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P. Shalen

3 papers hereh-index 264.3k citations83 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • middle author1
  • last author2

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.GT2
  • math.DG1

identity via Semantic Scholar / OpenAlex

most citedKnots with only two strict essential surfaces

8 citations · 8 across the 2 of their papers we have counts for

collaborators

3 papers

math.GT2004★ 8 cited

Knots with only two strict essential surfaces

Marc Culler, Peter B Shalen

We consider irreducible 3-manifolds M that arise as knot complements in closed 3-manifolds and that contain at most two connected strict essential surfaces. The results in the pape…

math.GT2002

Characteristic subsurfaces and Dehn filling

Steven Boyer, Marc Culler, Peter B. Shalen +1

Let M be a compact, orientable, irreducible, atoroidal 3-manifold with boundary an incompressible torus. Techniques based on the characteristic submanifold theory are used to bound…

math.DG2002

Real-analytic, volume-preserving actions of lattices on 4-manifolds

Benson Farb, Peter Shalen

We prove that any real-analytic, volume-preserving action of a lattice Γ in a simple Lie group with $\Qrank(Γ)\geq 7$ on a closed 4-manifold of nonzero Euler characteristic facto…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.