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Unified quantum SO(3) and SU(2) invariants for rational homology 3-spheres

Date

Date

Date
2010
Dissertation

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Citation copied

Bühler, I. A. (2010). Unified quantum SO(3) and SU(2) invariants for rational homology 3-spheres [s.n.]. (Dissertation, University of Zurich) https://doi.org/10.5167/uzh-40007

Abstract

Abstract

Abstract

Inspired by E. Witten’s work, N. Reshetikhin and V. Turaev introduced in 1991 important invariants for 3–manifolds and links in 3–manifolds, the so-called quantum (WRT) SU (2) invariants. Short after, R. Kirby and P. Melvin defined a modification of these invariants, called the quantum (WRT) SO(3) invariants. Each of these invariants depends on a root of unity. In this thesis, we give a unification of these invariants. Given a rational homology 3–sphere SU (2) SO(3) M and a link L inside, we define the unified invariants IM,L and IM,L , su

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Creators (Authors)

  • Bühler, Irmgard Adelheid

Institution

Institution

Institution

Faculty

Faculty

Faculty
Faculty of Science

Item Type

Item Type

Item Type
Dissertation

Referees

  • Beliakova, Anna
  • Schröder, Viktor

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Language

Language

Language
English

Place of Publication

Place of Publication

Place of Publication
Zürich

Publication date

Publication date

Publication date
2010

Date available

Date available

Date available
2010-12-23

Number of pages

Number of pages

Number of pages
81

OA Status

OA Status

OA Status
Green

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2 since deposited on 2010-12-23
Acq. date: 2025-11-08

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2 since deposited on 2010-12-23
1last month
Acq. date: 2025-11-08

Citations

Citations

Citation copied

Bühler, I. A. (2010). Unified quantum SO(3) and SU(2) invariants for rational homology 3-spheres [s.n.]. (Dissertation, University of Zurich) https://doi.org/10.5167/uzh-40007

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