Built on

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1984
Earlier work this paper cites.
A. S. Schwarz, “The Partition Function Of Degenerate Quadratic Functional And Ray-Singer Invariants,” Lett. Math. Phys. 2
1988
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
L. Baulieu and I. M. Singer, “Topological Yang-Mills Symmetry,” Nucl. Phys. Proc. Suppl. 5B
1989
Earlier work this paper cites.
S. Axelrod and I. M. Singer, “Chern-Simons perturbation theory. 2.,” J. Diff. Geom. 39
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E. Witten, “Mirror manifolds and topological field theory,” In *Yau, S.T. (ed.): Mirror symmetry I* 121-160 [ arXiv:hep-th/9112056v1 ]. E. Witten, “Two-dimensional gauge theories revisited,” J. Geom. Phys. 9
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L. Rozansky, “A Large k asymptotics of Witten’s invariant of Seifert manifolds,” Commun. Math. Phys. 171
2004
Earlier work this paper cites.
J. H. Schwarz, “Superconformal Chern-Simons theories,” JHEP 0411
2004
Earlier work this paper cites.

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Then

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2014

Topological anomalies for Seifert 3-manifolds

Imbimbo, Camillo, Rosa, Dario

Understand

We study globally supersymmetric 3d gauge theories on curved manifolds by describing the coupling of 3d topological gauge theories, with both Yang-Mills and Chern-Simons terms in the action, to background topological gravity.

In our approach the Seifert condition for manifolds supporting global supersymmetry is elegantly deduced from the topological gravity BRST transformations.
A cohomological characterization of the geometrical moduli which affect the partition function is obtained.
In the Seifert context Chern-Simons topological (framing) anomaly is BRST trivial.

Built on

W. A. Bardeen and B. Zumino, “Consistent and Covariant Anomalies in Gauge and Gravitational Theories,” Nucl. Phys. B 244
1984
Earlier work this paper cites.
A. S. Schwarz, “The Partition Function Of Degenerate Quadratic Functional And Ray-Singer Invariants,” Lett. Math. Phys. 2
1988
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys. 121
1989
Earlier work this paper cites.
L. Baulieu and I. M. Singer, “Topological Yang-Mills Symmetry,” Nucl. Phys. Proc. Suppl. 5B
1989
Earlier work this paper cites.
S. Axelrod and I. M. Singer, “Chern-Simons perturbation theory. 2.,” J. Diff. Geom. 39
1997
Earlier work this paper cites.
E. Witten, “Mirror manifolds and topological field theory,” In *Yau, S.T. (ed.): Mirror symmetry I* 121-160 [ arXiv:hep-th/9112056v1 ]. E. Witten, “Two-dimensional gauge theories revisited,” J. Geom. Phys. 9
2004
Earlier work this paper cites.
L. Rozansky, “A Large k asymptotics of Witten’s invariant of Seifert manifolds,” Commun. Math. Phys. 171
2004
Earlier work this paper cites.
J. H. Schwarz, “Superconformal Chern-Simons theories,” JHEP 0411
2004
Earlier work this paper cites.