Surgery HQFT

Turaev, Vladimir; Virelizier, Alexis

Surgery HQFT

Vladimir Turaev
(
- Indiana U.
)
,
Alexis Virelizier
(
- Lille U.
)

Mar 6, 2013

54 pages

e-Print:

1303.1331 [math.QA]

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Abstract: (arXiv)

Homotopy Quantum Field Theories (HQFTs) generalize more familiar Topological Quantum Field Theories (TQFTs). In generalization of the surgery construction of 3-dimensional TQFTs from modular categories, we use surgery to derive 3-dimensional HQFTs from G-modular categories.

field theory: topological
category: modular
homotopy

References(20)

Figures(1)

[Ba1]

Turaev-Viro invariants as an extended TQFT II

B. Balsam

e-Print:
- 1010.1222

[Ba2]

Turaev-Viro invariants as an extended TQFT III

B. Balsam

e-Print:
- 1012.0560

[Ca]

Quantum gravity in 2 + 1 dimensions. Cambridge Monographs on Math. Physics. Cambridge Univ. Press, Cambridge, 1998

S. Carlip

[BK]

Turaev-Viro invariants as an extended TQFT

e-Print:
- 1004.1533

[FR]

On Kirby’s calculus of links

R. Fenn
,
C. Rourke

- Topology 18 (1979) 1

[KR]

Invariants of tangles with flat connections in their complements. Graphs and patterns in mathematics and theoretical Proc. Sympos. Pure Math., 73, Amer. Math. Soc., Providence, RI, 2005

R. Kashaev
,
N. Reshetikhin

- Physics 151 172

[Ki]

A calculus of framed links in S3

R. Kirby

- Invent.Math. 45 (1978) 35

[Mac]

Categories for the working mathematician, second ed -Verlag, New York, 1998

S. MacLane

[Mal]

Traces dans les catégories mono¨ıdales, dualité et catégories mono¨ıdales fibrées [Traces in monoidal categories, duality and fibered monoidal categories],