Charles Livingston

Geometry and Topology · 2003–2014

A researcher in the Science corpus: 7 papers; trusts 21 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 63 citations into it; #1,318 of 7,422 by trust here, #2,024 by citations
• Mathematical Physics — 54 citations into it; #1,523 of 8,562 by trust here, #2,478 by citations
• Discrete Mathematics and Combinatorics — 25 citations into it
• Computational Theory and Mathematics — 12 citations into it; #2,906 of 12,182 by trust here, #5,465 by citations
• Neurology — 12 citations into it

Whom Charles Livingston trusts overall

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

1. Peter S. Ozsv'ath
2. Zolt'an Szab'o
3. Xiaoxia Lin
4. Jacob Rasmussen
5. S. Akbulut
6. D. Rolfsen
7. Tim D. Cochran
8. Stefan Friedl
9. M. Hedden
10. Jennifer Hom

Who trusts Charles Livingston overall

1. Jennifer Hom
2. Tim D. Cochran
3. M. Hedden
4. Jacob Rasmussen
5. Nathan M. Dunfield
6. J. Greene
7. David Krcatovich
8. P. Teichner
9. P. Lisca
10. Se-Goo Kim

Papers from Charles Livingston's perspective

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

1. Knot Floer homology and the four-ball genus
2. Holomorphic disks and knot invariants
3. Heegaard Floer homology and alternating knots.
4. Knot Floer homology and integer surgeries
5. A concordance invariant from the Floer homology of double branched covers
6. Holomorphic triangles and invariants for smooth four-manifolds
7. Holomorphic disks and genus bounds
8. Knot Floer homology and rational surgeries
9. Floer homology and knot complements
10. Khovanov homology and the slice genus

Their papers

• Notes on the knot concordance invariant Upsilon (2014) — 48 citations
• A Survey of Classical Knot Concordance (2003) — 62 citations
• Topologically slice knots of smooth concordance order two (2012) — 62 citations
• HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES (2013) — 70 citations
• Topologically slice knots with nontrivial Alexander polynomial (2010) — 61 citations
• Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation (2008) — 65 citations
• Computations of the Ozsv ath{Szab o knot concordance invariant (2004) — 121 citations