Paul A. Kirk

Geometry and Topology · 2000–2013

A researcher in the Science corpus: 4 papers; trusts 8 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 20 citations into it; #4,013 of 7,422 by trust here, #4,440 by citations
• Mathematical Physics — 16 citations into it; #3,599 of 8,562 by trust here, #3,664 by citations
• Discrete Mathematics and Combinatorics — 8 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom Paul A. Kirk trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. S. Scott
2. P. Kronheimer
3. D. Rolfsen
4. Xiaoxia Lin
5. T. Mrowka
6. Peter S. Ozsv'ath
7. Jacob Rasmussen
8. Charles Livingston

Who trusts Paul A. Kirk overall

1. Greg Friedman
2. Eugénie Hunsicker
3. N. Castro
4. M. Lesch

Papers from Paul A. Kirk's perspective

Ordered by how strongly the researchers Paul A. Kirk trusts endorse each paper. Same corpus, a different order for every researcher.

1. Holomorphic disks and knot invariants
2. Floer homology and knot complements
3. Knots and Links
4. Khovanov homology is an unknot-detector
5. Knot homology groups from instantons
6. On the Khovanov and knot Floer homologies of quasi-alternating links
7. Dehn surgery, the fundamental group and SU(2)
8. Representations of Knot Groups and Twisted Alexander Polynomials
9. A Survey of Classical Knot Concordance
10. Fibred knots and twisted Alexander invariants

Their papers

• The pillowcase and perturbations of traceless representations of knot groups (2013) — 48 citations
• Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation (2008) — 65 citations
• Lecture notes in algebraic topology (2001) — 349 citations
• The eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary (2000) — 115 citations