Integral lattices in TQFT

By Patrick M. Gilmer, Gregor Masbaum. 2004

70 citations recorded by the source corpus.

Abstract We find explicit bases for naturally defined lattices over a ring of algebraic integers in the SO ( 3 ) -TQFT-modules of surfaces at roots of unity of odd prime order. Some applications relating quantum invariants to classical 3-manifold topology are given.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/625620f750a6c835b4d4a0b5c42b2fa0f99be9b8

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In Discrete Mathematics and Combinatorics

1. Kazuo Habiro
2. Kazuhiro Hikami
3. Stavros Garoufalidis

In Geometry and Topology

1. Kazuo Habiro
2. Stavros Garoufalidis
3. P. Teichner
4. Kazuhiro Hikami
5. Benson Farb
6. Tim D. Cochran
7. James F. Conant
8. Dror Bar-Natan

In Mathematical Physics

1. Kazuo Habiro
2. P. Teichner
3. Benson Farb
4. Tim D. Cochran
5. James F. Conant
6. Stavros Garoufalidis
7. Dror Bar-Natan
8. Zsuzsanna Dancso

Citations in the corpus

• A unified Witten–Reshetikhin–Turaev invariant for integral homology spheres (2006, background): “unctor restricts to a representationof the Torelli group of each Σg,1. It is expected that the functor J¯ would lead to some refinements of the integral structures in topological quantum field theories [9, 11, 10]. Acknowledgments. The author would like to thank Thang Le for numerous, helpful conversa”