Tag: principal-bundles

36 How are the classifying space of $E_8$ and $K(\mathbb{Z},4)$ related? 2011-01-17T03:02:03.697

31 A geometric interpretation of the Levi-Civita connection? 2010-08-01T07:20:57.543

25 Sheaf Description of G-Bundles 2009-10-25T02:52:32.917

22 Conformal blocks vector bundles on $\overline{M}_{g}$ in terms of generalized theta functions? 2011-02-27T21:40:11.503

19 Why does the group act on the right on the principal bundle? 2010-12-27T05:53:39.493

19 Are there "principal" bundles S^1 --> S^3 ---> S^2 other then Hopf's? (They would be necessarily not locally trivial) 2016-08-23T19:16:34.287

18 Vector bundles vs principal $G$-bundles 2012-04-01T14:59:42.700

17 How to Draw Complex Line Bundles 2012-06-24T16:40:28.723

12 extension of $G$-bundles 2010-11-25T09:33:45.790

11 Representations of \pi_1, G-bundles, Classifying Spaces 2010-04-08T17:31:08.630

11 $G$-bundles on affine spaces 2010-11-15T17:43:11.463

11 Nice example of a topologically trivial bundle with nontrivial connection 2011-06-10T15:39:14.053

11 Example: Principal G bundle that is not Zariski locally trivial, G not finite and G simply connected 2013-12-15T00:37:12.213

11 $\pi_1$ of the moduli of G-bundles on elliptic curves and the double affine braid group 2015-10-08T06:56:27.947

11 Existence of flat connections via characteristic classes, for nice groups 2016-06-23T16:48:01.737

10 What does the moduli stack of G-torsors over the multiplicative group look like? 2013-08-05T15:47:03.877

10 Are there principal $G$-bundles whose holonomy group is $G$? 2014-01-09T16:15:53.670

10 Counting isomorphism classes in open subsets of Bun_G 2016-02-10T03:07:02.147

9 Spaces of symplectic embeddings: Bundle? Smoothness? 2013-07-25T17:34:37.233

9 Clutching functions and Classifying maps 2014-08-20T08:55:01.030

9 Identify the sphere bundle of a complex line bundle $BD_{2n}\to BU(1)$ 2017-06-06T21:21:52.190

8 Reference request: Moduli spaces of bundles over singular curves 2010-04-08T08:26:29.283

8 Adelic description of moduli of $G$-bundles on a curve 2012-11-16T17:07:44.767

8 Euler number of the complex of basic forms 2014-04-17T13:36:14.127

8 $v_1$-periodic homotopy and principal bundle classification 2014-05-17T15:03:19.490

8 Are all quotients of a weakly contractible space via a free group action classifying spaces of the group? 2015-03-27T08:55:09.120

8 Circle Action on Quaternionic Projective Space 2016-02-10T16:02:43.327

8 Does an oriented $S^3$ fiber bundle admit the structure of a principal $SU(2)$-bundle? 2017-09-29T08:31:48.207

7 What is a good way to think about a fundamental field on a principal G-bundle? 2010-01-21T15:45:01.427

7 Does local triviality in the fppf topology imply local triviality in the etale topology? 2011-01-03T18:55:52.680

7 Principal bundles over groups 2011-02-14T13:29:22.253

7 Classifying spaces of topological groups that are not well-pointed 2012-08-10T12:21:30.070

7 Generalising the Penrose Twistor Fibration 2015-08-12T16:49:55.457

6 Almost Flat Connections On Principal G-Bundles 2011-06-25T16:28:08.383

6 The meaning of a "subcomplex" of the Cartan-Eilenberg of a Lie algebra 2012-08-08T05:48:00.613

6 Are principal bundles isotrivial? 2013-06-20T13:08:29.083

6 What are global sections of the determinant bundle on the Beilinson-Drinfeld Grassmannian? 2014-02-11T21:05:56.633

6 Automorphism group of a fiber bundle surjects onto diffeomorphism group? 2015-06-28T12:59:03.807

6 What does "higher monodromy" tell us about a principal bundle 2015-12-01T11:03:52.933

6 Is central extension of a group equivalent to a bundle with gauge field? 2016-01-15T23:04:43.623

6 Principal bundle approach to general relativity 2016-02-24T11:11:31.467

6 Connected components of gauge groups of principal bundles over generalized flag manifolds 2017-05-07T14:12:50.927

6 Automorphisms of semistable $G$-bundles 2017-06-12T22:42:20.090

5 Generalising the sphere-projective relationship to the flag manifold setting 2010-09-02T20:48:07.090

5 Principal bundles and Čech cohomology with non-good open covers 2013-12-07T17:51:38.180

5 Associating a principal bundle to a torsor 2014-05-07T21:05:12.877

5 Differentiable structure on the Gauge group of a principal bundle? 2014-06-17T09:00:06.213

5 The unit tangent bundle of 2- or 4-manifolds as a principal $S^{1}$- or $S^{3}$-bundle 2014-09-24T10:49:37.523

5 Lindel's theorem for semisimple simply connected G 2015-05-08T05:30:42.613

5 Detecting torsion-classified bundles by differential invariants 2015-08-26T07:47:11.837

5 Semistability of principal bundle vs vector bundle 2015-10-30T11:07:58.000

5 Grothendieck's paper on principal bundles, reduction to a torus step 2015-11-25T20:45:42.233

5 Is there a group scheme G such that there is a proper class of non-isomorphic fpqc G-bundles over some fixed base? 2016-08-23T06:05:09.053

5 Topological obstruction for the existence of spin$^c$ structure 2017-01-13T16:16:14.387

4 How do you exponentiate a section of the adjoint bundle to get a gauge transformation? 2010-07-30T02:42:02.707

4 isomorphism of extensions by abelian varieties 2011-03-09T05:50:59.073

4 T-Equivariant trivialization of a principal G-bundle 2011-05-12T23:19:43.947

4 Nontrivial examples of non-trivial principal circle bundles 2012-08-18T09:42:07.940

4 Connection Transformation Formula; Degree 3 Cech Cohomology 2012-11-20T15:44:58.707

4 Numerable covers from the point of view of Grothendieck topologies 2012-12-21T08:46:59.313

4 Trivializing principal bundles on a curve over a finite field 2013-03-30T17:44:20.437

4 What is "Data" involved in a mathematical construction? 2013-04-15T03:53:35.237

4 Twisting stable maps to C* equivariant space by a line bundle 2015-04-27T14:13:19.613

4 What is the space for the coefficients of the connection 1-form of a connection in a vector bundle? 2015-05-14T23:14:41.727

4 Vector bundle with a perfect pairing and ($\mathbb Z/2$, $SL_r$)-bundle 2015-09-30T09:47:48.060

4 Vector bundles with symmetric perfect form 2015-11-10T16:31:46.607

4 Principal bundles that can't be detected by spheres 2015-12-29T22:15:02.640

4 Bundles as Extensions and Jump Phenomena 2016-11-18T18:46:25.373

4 from 2-cocycle to classifying map 2017-03-14T11:06:27.253

4 Is there a book on differential geometry that doesn't mention the notion of charts? 2017-10-20T09:39:08.843

4 A bounded operator associated with a principal bundle 2017-10-21T09:45:15.157

4 Symplectic Principal bundles 2017-10-23T09:50:30.160

3 Over which schemes can there exist non-trivial G_a bundles? 2009-10-28T03:52:03.250

3 Transition Functions of the Principal Bundle $SU(2) \to \mathbb{CP}^1$ 2010-02-03T17:58:12.270

3 Principal bundles and associated vector bundles, the case of the complex projective space (1,0)-forms 2010-02-09T07:15:27.347

3 Principal bundles in the etale and Zariski topology and extensions of the structure group 2011-08-02T23:05:12.927

3 Principal bundle connections 2011-09-20T16:44:54.177

3 homogenous bundles 2012-04-26T16:50:49.397

3 Cross sections in bundles and principal G-bundles 2012-06-25T11:28:39.810

3 Higgs bundle and stable bundle 2012-12-05T23:04:56.800

3 What are the symmetries of a principal homogeneous bundle? 2013-02-10T17:44:21.580

3 Twisting an object P by an H-Torsor I 2013-02-21T16:59:50.487

3 Confusions over the definitions of universal bundle and characteristic class 2013-03-31T15:06:10.423

3 How many principal bundles are there over a given base? 2013-07-19T11:17:07.940

3 Representation variety vs. space of flat connections 2013-09-27T11:53:46.650

3 Classifying map of a principal bundle 2014-01-19T22:23:46.203

3 Proof of Lemma in "Harmonic maps and the self-duality equations" by Donaldson 2014-04-25T06:35:04.230

3 Identifying a cohomology class arising from a Postnikov decomposition of BU(2) 2014-11-22T17:58:36.370

3 Spectral theory of differential forms over a circle bundle 2015-12-03T17:32:01.420

3 Parallel Transport on Hypersurface Spinor Bundle 2016-01-29T18:39:35.077

3 Fiber product of nilmanifolds 2016-06-08T17:57:43.193

3 Compatibility of Definitions of Universal G-bundles 2017-09-06T12:09:19.420

3 Compute characteristic classes of principal bundle over closed surfaces 2017-11-04T16:07:58.650

3 The topology of subgroups of gauge groups 2017-11-28T14:53:26.387

3 Is there an easy example of group action where the slice theorem produces a non-trivial principal bundle? 2018-02-16T15:47:59.347

2 Vector bundles on some non-projective surfaces 2010-10-26T17:27:19.823

2 Index of elliptic operators III: H-structure invariant under a group G 2011-07-29T10:28:49.983

2 Isometry groups of Riemannian submersions with totally geodesic fibers 2011-10-26T19:49:00.250

2 Classification of principal G-bundles over a differentiable stack 2011-12-07T14:01:27.450