Deformation spaces for seifert manifolds

1985 ◽  
pp. 180-216 ◽  
Author(s):  
Ravi Kulkarni ◽  
Kyung Bai Lee ◽  
Frank Raymond
Keyword(s):  
Deformation Spaces ◽  
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.

Seifert Manifolds

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

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 algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category

1998 ◽  
Vol 45 (1) ◽  
pp. 25-39
Author(s):  
J. Bryden ◽  
P. Zvengrowski
Keyword(s):  
Seifert Manifolds ◽  
Lusternik Schnirelmann

scholarly journals Geometrically Connected Components of Lubin-Tate Deformation Spaces with Level Structures

2008 ◽  
Vol 4 (4) ◽  
pp. 1215-1232 ◽  
Author(s):  
Matthias Strauch
Keyword(s):  
Connected Components ◽  
Deformation Spaces

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

scholarly journals Nearly ordinary Galois deformations over arbitrary number fields

2008 ◽  
Vol 8 (1) ◽  
pp. 99-177 ◽  
Author(s):  
Frank Calegari ◽  
Barry Mazur
Keyword(s):  
Arbitrary Number ◽  
Quadratic Field ◽  
Galois Representations ◽  
Galois Representation ◽  
Number Fields ◽  
Base Change ◽  
Deformation Spaces ◽  
Totally Real ◽  
Set Of Points ◽  
Dense Set

AbstractLet K be an arbitrary number field, and let ρ : Gal($\math{\bar{K}}$/K) → GL2(E) be a nearly ordinary irreducible geometric Galois representation. In this paper, we study the nearly ordinary deformations of ρ. When K is totally real and ρ is modular, results of Hida imply that the nearly ordinary deformation space associated to ρ contains a Zariski dense set of points corresponding to ‘automorphic’ Galois representations. We conjecture that if K is not totally real, then this is never the case, except in three exceptional cases, corresponding to: (1) ‘base change’, (2) ‘CM’ forms, and (3) ‘even’ representations. The latter case conjecturally can only occur if the image of ρ is finite. Our results come in two flavours. First, we prove a general result for Artin representations, conditional on a strengthening of the Leopoldt Conjecture. Second, when K is an imaginary quadratic field, we prove an unconditional result that implies the existence of ‘many’ positive-dimensional components (of certain deformation spaces) that do not contain infinitely many classical points. Also included are some speculative remarks about ‘p-adic functoriality’, as well as some remarks on how our methods should apply to n-dimensional representations of Gal($\math{\bar{\QQ}}$/ℚ) when n > 2.

Seifert Manifolds

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