146 How do I make the conceptual transition from multivariable calculus to differential forms? 2010-01-03T10:11:45.010

64 Parallelizability of the Milnor's exotic spheres in dimension 7 2011-03-11T07:57:30.373

44 What are the open subsets of $\mathbb{R}^n$ that are diffeomorphic to $\mathbb{R}^n$ 2009-11-07T00:20:07.067

38 Is there a preferable convention for defining the wedge product? 2011-02-04T18:17:41.960

37 What is the Implicit Function Theorem good for? 2010-09-06T23:29:08.650

37 Can cotangent bundles see exotic smooth structures? 2011-06-26T08:57:11.223

36 Classification problem for non-compact manifolds 2009-11-04T22:33:42.430

34 Why differential forms are important? 2014-06-17T10:30:46.043

34 Finding a 1-form adapted to a smooth flow 2017-07-04T10:16:05.363

33 How can you tell if a space is homotopy equivalent to a manifold? 2009-10-06T03:23:37.720

33 When is a submanifold of $\mathbf R^n$ given by global equations? 2011-10-15T13:37:36.963

32 Are submersions of differentiable manifolds flat morphisms? 2009-10-19T14:16:35.740

32 Two kinds of orientability/orientation for a differentiable manifold 2010-01-06T21:07:41.080

32 What is the classifying space of "G-bundles with connections" 2010-02-17T21:05:16.527

32 How can we detect the existence of almost-complex structures? 2011-04-29T16:46:39.827

30 Strong Whitney embedding theorem for non-compact manifolds 2013-05-24T10:04:57.773

30 Unifying Geometry for Characteristic Classes 2014-12-28T10:23:36.533

29 Embeddings of $S^2$ in $\mathbb{CP}^2$ 2009-12-12T11:27:50.067

28 Is it possible to improve the Whitney embedding theorem? 2011-03-06T08:38:17.360

28 Is the space of diffeomorphisms homotopy equivalent to a CW-complex? 2013-04-08T07:35:28.937

27 Exotic differentiable structures on R^4? 2010-05-17T06:00:02.287

26 What is meant by smooth orbifold? 2010-03-27T17:53:14.107

26 Can all n-manifolds be obtained by gluing finitely many blocks? 2010-10-18T13:15:50.427

26 Can you flip the end of a large exotic $\mathbb{R}^4$ 2011-03-21T08:32:40.527

26 Cobordism of orbifolds? 2012-12-05T18:48:07.723

25 Why should I prefer bundles to (surjective) submersions? 2010-03-11T05:32:00.070

25 Level sets of Morse functions 2010-07-04T23:06:14.663

25 Do there exist exotic 4-tori? 2013-06-14T21:47:18.753

25 How to get convinced that there are a lot of 3-manifolds? 2015-10-06T13:09:53.123

24 Diffeomorphisms of finite order not in the image of a circle action 2012-05-06T17:25:35.700

24 Does isometric immersion map boundary to boundary? 2016-11-04T14:54:06.183

23 Universal property of the tangent bundle 2011-02-13T00:02:57.253

23 Periodic Orbit property 2013-12-24T13:21:27.240

23 Finite limits in the category of smooth manifolds? 2014-04-06T04:09:39.180

23 Ellipses on spheres (and other surfaces) 2014-07-10T01:41:12.657

22 When is a closed differential form harmonic relative to some metric? 2011-09-09T21:34:09.120

21 Characteristic classes of sphere bundles over spheres in terms of clutching functions 2009-11-25T05:06:16.793

21 Monoid structure of oriented manifolds with connect sum 2012-04-08T18:32:15.790

21 Algorithmically unsolvable problems in topology 2012-06-01T22:16:45.363

21 Is there a smooth manifold which admits only rigid metrics? 2016-04-18T17:23:19.103

21 Questions on J. F. Nash's answer about his errors in the proof of embedding theorem 2016-06-13T13:06:03.010

20 Least number of charts to describe a given manifold 2009-10-26T14:00:44.647

20 Are there two non-homotopy equivalent spaces with equal homotopy groups? 2009-10-31T13:37:35.560

20 GAGA and Chern classes 2010-03-31T18:55:36.507

20 Is it possible for a metric on a smooth manifold to be smooth? 2015-08-19T15:17:20.423

20 All fiber bundles over $S^2$ extendable to $\mathbb{C}P^\infty$? 2016-10-21T05:38:57.957

19 Noncommutative smooth manifolds 2010-03-02T06:10:47.503

19 Can one properly embed a differential manifold into numerical space of double dimension? 2014-11-24T13:03:43.510

19 Smooth manifolds as idempotent splitting completion 2015-11-05T08:05:16.500

19 Manifolds with polynomial transition maps 2017-07-17T07:03:37.530

18 Compactification theorem for differentiable manifolds ? 2010-04-24T17:20:45.177

18 What's the Kirby Diagram of a universal $\mathbb{R}^4$? 2011-02-02T22:53:14.853

18 Manifolds with two coordinate charts 2012-12-28T23:19:26.037

18 The cone on a manifold 2013-11-01T14:04:08.473

18 The limit of edge-midpoint convex polyhedra 2014-10-19T23:42:50.640

18 Differential Topology over $\mathbb{Q}$ 2015-05-21T13:25:47.770

18 What should I cite for the Poincaré conjecture? 2016-07-26T06:58:58.850

18 Can the constant rank theorem for smooth manifolds be generalized to nonconstant rank? 2017-03-10T19:25:27.010

18 Local homology of a space of unitary matrices 2017-05-02T22:25:46.587

17 Nice application of generalized smooth spaces 2011-02-11T14:28:09.270

17 How are these algebraic and geometric notions of homotopy of maps between manifolds related? 2011-07-28T17:49:32.763

17 Is the restriction map for embeddings of manifolds with boundary a fibration? 2016-02-11T17:33:50.100

17 Is integration on manifolds unique? 2017-08-01T03:42:28.850

17 Is there an Infinite dimensional sheaf theory for analysis on manifolds? 2017-08-05T17:04:30.363

17 A search for a sequence of $6$-manifolds 2017-08-30T10:39:12.800

17 Open subsets of Euclidean space in dimension 5 and higher admitting exotic smooth structures 2017-09-20T18:41:31.070

16 Geometric interpretation of the Pontryagin square 2011-03-25T18:41:17.973

16 Does every vector bundle allow a finite trivialization cover? 2012-04-19T01:14:51.700

16 Is there a notion of a chain complex with corners? 2012-10-21T11:56:58.483

16 Derivation on real analytic manifolds 2014-02-26T17:29:25.617

16 Vanishing of characteristic numbers vs vanishing of characteristic classes 2016-10-31T10:48:33.323

15 can you fool SnapPea? 2009-11-10T20:39:04.913

15 How to classify the algebras C^∞(M)? 2010-04-13T00:27:46.037

15 Smooth structures on the connected sum of a manifold with an Exotic sphere 2010-12-08T23:45:48.587

15 Looking for a simple proof that R^2 has only one smooth structure 2011-03-14T21:45:14.773

15 What should be taught in a 1st course on smooth manifolds? 2011-03-18T20:35:07.733

15 Is the category of smooth manifolds equivalent to the opposite category of the category of commutative monoids of some additive symmetric monoidal category? 2011-09-30T16:43:38.983

15 If all balls around two points are isometric... -- manifold version 2014-10-06T22:38:07.137

15 Smoothness of the closest point on a submanifold 2016-06-12T15:20:52.223

15 Are homology spheres stably trivial? 2016-06-16T18:28:35.223

15 An orientable non-spin${}^c$ manifold with a spin${}^c$ covering space 2018-02-06T16:37:44.267

14 When do fibre products of smooth manifolds exist? 2009-10-06T21:59:53.330

14 Characterizing Hessians among symmetric bilinear tensors 2013-03-05T16:44:27.583

14 Pullbacks as manifolds versus ones as topological spaces 2013-03-12T12:31:22.647

14 Does a *topological* manifold have an exhaustion by compact submanifolds with boundary? 2013-05-01T15:56:20.687

14 Are the mapping class groups of manifolds finitely presentable? 2014-03-29T00:33:39.133

14 Homotopy groups of spaces of embeddings 2014-05-26T02:45:14.440

14 Can the Laplace operator on $n-$ manifolds be represented as a sum of $n$ second order derivational operators 2015-08-05T03:56:23.283

14 Which category of sheaves on a manifold remembers the manifold? 2016-12-14T20:12:12.470

14 Do TQFTs give a complete set of invariants of manifolds? 2018-01-13T22:26:47.463

13 smooth sections of smooth fiber bundles 2010-05-25T12:15:57.863

13 How well can we localize the "exoticness" in exotic R^4? 2010-08-03T04:21:25.700

13 orientations for zero-dimensional manifolds 2010-11-28T17:06:30.663

13 How to disjoint two cycles with zero intersection? 2011-10-01T20:15:37.847

13 What are the smooth manifolds in the topos of sheaves on a smooth manifold? 2011-10-30T11:10:38.980

13 one-parameter subgroup and geodesics on Lie group 2011-11-22T09:56:56.757

13 Characterization of the Lie derivative 2012-03-15T14:27:05.727

13 What is the status of the PL-pseudoisotopy stability theorem? 2013-02-08T03:19:23.653

13 Does every compact manifold exhibit an almost global chart 2014-08-02T15:10:25.813