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The topological invariant of three-manifolds based on the U(1) gauge theory

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Publication:757902
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DOI10.3792/pjaa.66.237zbMath0724.57010OpenAlexW2002256911MaRDI QIDQ757902

Toru Gocho

Publication date: 1990

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.66.237


zbMATH Keywords

homologyinvariantHeegaard splittingHeegaard surfaceSiegel modular groupssymplectic automorphismclosed oriented 3-manifoldsprojective unitary representations


Mathematics Subject Classification ID

General low-dimensional topology (57M99)


Related Items (3)

Cohomology of symplectic groups and Meyer's signature theorem ⋮ Theta functions and a presentation of \(2^{1 +(2 g + 1)} \mathsf{Sp}(2 g, 2)\) ⋮ On the natural line bundle on the moduli space of stable parabolic bundles



Cites Work

  • Quantum field theory and the Jones polynomial
  • Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
  • Three-Dimensional Manifolds and Their Heegaard Diagrams


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