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P. J. Kahn

4 papers hereh-index 12333 citations47 works total

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

author position
  • sole author4

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.NT2
  • math.AT1
  • math.SG1

identity via Semantic Scholar / OpenAlex

activity
20012015
most citedSymplectic torus bundles and group extensions

8 citations · 16 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2015

A Generalization of Wantzel's Theorem, m-sectable angles, and the density of certain Chebyshev-polynomial images

Peter J. Kahn

The eponymous theorem of P.L. Wantzel presents a necessary and sufficient criterion for angle trisectability in terms of the third Chebyshev polynomial T3​, thus making it easy t…

math.NT2011

The Density of the Set of Trisectable Angles

Peter J. Kahn

It has been known for almost 200 years that some angles cannot be trisected by straightedge and compass alone. This paper studies the set of such angles as well as its complement $…

math.SG2004★ 8 cited

Symplectic torus bundles and group extensions

Peter J. Kahn

Symplectic torus bundles ξ:T2→E→B are classified by the second cohomology group of B with local coefficients H1​(T2). For B a compact, orientable surface, the…

math.AT2001★ 8 cited

Pseudohomology and homology

Peter J. Kahn

The notion of a pseudocycle is introduced by McDuff and Salamon (J-holomorphic curves and quantum cohomology, University Lecture Series, Vol. 6, AMS (1994)) to provide a framework…

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