Expansive flows on Seifert manifolds and on torus bundles

1993 ◽  
Vol 24 (1) ◽  
pp. 89-104 ◽  
Author(s):  
Marco Brunella
Keyword(s):  
Torus Bundles ◽  
Seifert Manifolds ◽  
Expansive Flows

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.

Examples for obstructions to action-angle coordinates

1988 ◽  
Vol 110 (1-2) ◽  
pp. 27-30 ◽  
Author(s):  
Larry M. Bates
Keyword(s):  
Global Existence ◽  
Symplectic Manifolds ◽  
Torus Bundles

SynopsisWe give examples of symplectic manifolds which are also non-trivial principal torus-bundles with Lagrangian fibres. These bundles are examples of spaces with an obstruction to the global existence of action-angle variables.

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
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