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researcher

Paul A. Kirk

31 papers hereh-index 221.9k citations67 works total

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

author position
  • sole author2
  • first author6
  • middle author8
  • last author15

Across the 31 of 31 papers where every author was matched, so the position is known.

fields
  • math.GT28
  • math.DG2
  • dg-ga1

identity via Semantic Scholar / OpenAlex

activity
19942026
most citedThe pillowcase and perturbations of traceless representations of knot groups

20 citations · 105 across the 29 of their papers we have counts for

collaborators
Showing 2000Show all

2 papers · 1 filter

math.DG2000★ 9 cited

The eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary

Paul Kirk, Matthias Lesch

Several proofs have been published of the Mod Z gluing formula for the eta-invariant of a Dirac operator. However, so far the integer contribution to the gluing formula for the eta…

math.GT2000★ 5 cited

An integer valued SU(3) Casson invariant

Hans U. Boden, Christopher M. Herald, Paul A. Kirk

We define an integer valued invariant of homology spheres using the methods of SU(3) gauge theory and study its behavior under orientation reversal and connected sum.

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