Hitoshi Murakami

Geometry and Topology · 2004–2010

A researcher in the Science corpus: 3 papers; trusts 7 researchers and is trusted by 2 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 42 citations into it; #6,269 of 7,422 by trust here, #3,228 by citations
• Mathematical Physics — 38 citations into it; #8,131 of 8,562 by trust here, #4,022 by citations
• Algebra and Number Theory — 8 citations into it
• Computational Theory and Mathematics — 6 citations into it

Whom Hitoshi Murakami trusts overall

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

1. Sergei Gukov
2. Gregor Masbaum
3. Don Zagier
4. C. Zickert
5. .Ilker S. Yuce
6. Yoshiyuki Yokota
7. N. Andruskiewitsch

Who trusts Hitoshi Murakami overall

1. Jun Murakami
2. Tomotada Ohtsuki

Papers from Hitoshi Murakami's perspective

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

1. Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial
2. Lectures on tensor categories and modular functors
3. Vassiliev invariants and a strange identity related to the Dedekind eta-function
4. Indecomposable Set-Theoretical Solutions to the Quantum Yang–Baxter Equation on a Set with a Prime Number of Elements
5. From racks to pointed Hopf algebras
6. An Introduction to Knot Theory
7. Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras, and their asymptotic expansions
8. Topological quantum field theories
9. Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
10. The Kontsevich integral and Milnor’s invariants

Their papers

• An Introduction to the Volume Conjecture (2010) — 67 citations
• Problems on invariants of knots and 3-manifolds (2004) — 128 citations
• The colored Jones polynomials of the figure-eight knot and its Dehn surgery spaces (2004) — 48 citations