Seifert Manifolds

1972 ◽  
Author(s):  
Peter Orlik
Keyword(s):  
Seifert Manifolds

scholarly journals Three-dimensional 𝒩 = 2 supersymmetric gauge theories and partition functions on Seifert manifolds: A review

2019 ◽  
Vol 34 (23) ◽  
pp. 1930011 ◽  
Author(s):  
Cyril Closset ◽  
Heeyeon Kim
Keyword(s):  
Correlation Functions ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Partition Functions ◽  
Exact Results ◽  
Strongly Coupled ◽  
Seifert Manifolds ◽  
Recent Developments ◽  
Supersymmetric Gauge ◽  
Chern Simons

We give a pedagogical introduction to the study of supersymmetric partition functions of 3D [Formula: see text] supersymmetric Chern–Simons-matter theories (with an [Formula: see text]-symmetry) on half-BPS closed three-manifolds — including [Formula: see text], [Formula: see text], and any Seifert three-manifold. Three-dimensional gauge theories can flow to nontrivial fixed points in the infrared. In the presence of 3D [Formula: see text] supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities.

scholarly journals Systematic Singular Triangulations of All Orientable Seifert Manifolds

2005 ◽  
Vol 28 (2) ◽  
pp. 539-561 ◽  
Author(s):  
Taiji TANIGUCHI ◽  
Keiko TSUBOI ◽  
Masakatsu YAMASHITA
Keyword(s):  
Seifert Manifolds

scholarly journals The cohomology ring of the orientable Seifert manifolds, II

2003 ◽  
Vol 127 (1-2) ◽  
pp. 213-257 ◽  
Author(s):  
J. Bryden ◽  
P. Zvengrowski
Keyword(s):  
Cohomology Ring ◽  
Seifert Manifolds

Seifert Manifolds

1987 ◽  
pp. 135-172
Author(s):  
José María Montesinos-Amilibia
Keyword(s):  
Seifert Manifolds

scholarly journals Dijkgraaf–Witten Z2-invariants for Seifert manifolds

2017 ◽  
Vol 26 (01) ◽  
pp. 1750006
Author(s):  
Simon King ◽  
Sergei Matveev ◽  
Vladimir Tarkaev ◽  
Vladimir Turaev
Keyword(s):  
Short Paper ◽  
Seifert Manifolds

In this short paper, we compute the values of Dijkgraaf–Witten invariants over [Formula: see text] for all orientable Seifert manifolds with orientable bases.

scholarly journals The linking pairings of orientable Seifert manifolds

2011 ◽  
Vol 158 (3) ◽  
pp. 468-478 ◽  
Author(s):  
Jonathan A. Hillman
Keyword(s):  
Seifert Manifolds

scholarly journals On the modularity of the unified WRT invariants of certain Seifert manifolds

2011 ◽  
Vol 46 (1-4) ◽  
pp. 86-93 ◽  
Author(s):  
Kathrin Bringmann ◽  
Kazuhiro Hikami ◽  
Jeremy Lovejoy
Keyword(s):  
Seifert Manifolds
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