Lecture notes in algebraic topology JF Davis, P Kirk American Mathematical Soc., 2001 | 232 | 2001 |

Twisted Alexander invariants, reidemeister torsion, and Casson–Gordon invariants P Kirk, C Livingston Topology 38 (3), 635-661, 1999 | 211 | 1999 |

Chern-Simons invariants of 3-manifolds and representation spaces of knot groups PA Kirk, EP Klassen Mathematische Annalen 287 (1), 343-367, 1990 | 102 | 1990 |

The Á–invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary P Kirk, M Lesch Forum Math 16 (4), 553-629, 2004 | 82 | 2004 |

Chern-Simons invariants of 3-manifolds decomposed along tori and the circle bundle over the representation space of*T*^{2}P Kirk, E Klassen Communications in mathematical physics 153 (3), 521-557, 1993 | 72 | 1993 |

The Gassner representation for string links P Kirk, C Livingston, Z Wang arXiv preprint math/9806035, 1998 | 62 | 1998 |

A symplectic manifold homeomorphic but not diffeomorphic to CP^ 2# 3 (-CP^ 2) S Baldridge, P Kirk arXiv preprint math/0702211, 2007 | 61 | 2007 |

Twisted knot polynomials: inversion, mutation and concordance P Kirk, C Livingston Topology 38 (3), 663-671, 1999 | 54 | 1999 |

Representation spaces of Seifert fibered homology spheres PA Kirk, EP Klassen Topology 30 (1), 77-95, 1991 | 52 | 1991 |

Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation C Herald, P Kirk, C Livingston Mathematische Zeitschrift 265 (4), 925-949, 2010 | 46 | 2010 |

Vassiliev invariants of two component links and the Casson-Walker invariant P Kirk, C Livingston Topology 36 (6), 1333-1353, 1997 | 40 | 1997 |

Constructions of small symplectic 4-manifolds using Luttinger surgery S Baldridge, P Kirk arXiv preprint math/0703065, 2007 | 39 | 2007 |

Link maps in the four sphere PA Kirk Differential topology, 31-43, 1988 | 38 | 1988 |

Instantons, concordance, and Whitehead doubling M Hedden, P Kirk Journal of Differential Geometry 91 (2), 281-319, 2012 | 36 | 2012 |

Computing spectral flow via cup products P Kirk, E Klassen Journal of Differential Geometry 40 (3), 505-562, 1994 | 34 | 1994 |

Simply connected minimal symplectic 4-manifolds with signature less than--1 A Akhmedov, S Baldridge, Rİ Baykur, P Kirk, BD Park arXiv preprint arXiv:0705.0778, 2007 | 33 | 2007 |

Splitting the spectral flow and the Alexander matrix P Kirk, E Klassen, D Ruberman Commentarii Mathematici Helvetici 69 (1), 375-416, 1994 | 33 | 1994 |

On symplectic 4-manifolds with prescribed fundamental group S Baldridge, P Kirk arXiv preprint math/0504345, 2005 | 30 | 2005 |

Gauge theoretic invariants of Dehn surgeries on knots HU Boden, CM Herald, PA Kirk, EP Klassen Geometry & Topology 5 (1), 143-226, 2001 | 30 | 2001 |

The pillowcase and perturbations of traceless representations of knot groups M Hedden, CM Herald, P Kirk Geometry & Topology 18 (1), 211-287, 2014 | 29 | 2014 |