User Praphulla Koushik

79 votes

9 answers

21k views

Results that are widely accepted but no proof has appeared

asked Apr 13, 2020 at 6:06

20 votes

7 answers

3k views

What are the occurrences of stacks outside algebraic geometry, differential geometry, and general topology?

asked May 30, 2020 at 17:14

18 votes

4 answers

3k views

When (why) did we allow manifolds to be non-Hausdorff and/or non-second countable?

asked Jun 4, 2020 at 5:56

16 votes

4 answers

2k views

References on Gerbes

asked Mar 31, 2018 at 16:19

15 votes

3 answers

1k views

(An introduction to) deformation theory (written) for differential geometers

asked Mar 19, 2023 at 8:29

13 votes

1 answer

943 views

"a sign that one should be computing K-theory"

asked Oct 2, 2019 at 10:34

12 votes

4 answers

2k views

Motivation for definition of Quotient stack

asked Dec 19, 2018 at 10:28

11 votes

3 answers

3k views

Outline of the proof that Cech cohomology and singular cohomology coincide on any locally contractible space

asked Sep 11, 2018 at 5:13

11 votes

0 answers

1k views

What is there in the book Cohomologie non abélienne by Jean Giraud

asked Mar 29, 2018 at 13:16

11 votes

1 answer

643 views

Size issues (small/large categories) when defining stacks in the Algebraic/differentiable/topological setting

asked May 26, 2020 at 9:26

10 votes

0 answers

227 views

Are fibered categories fibrant objects in some model structure on Cat/C?

asked Nov 10, 2020 at 14:15

9 votes

1 answer

447 views

Results in “generalised smooth spaces” that did not hold in the case of smooth manifolds

asked Jun 20, 2020 at 16:33

9 votes

6 answers

3k views

Motivation for construction of associated fiber bundle from a principal bundle

asked Sep 26, 2018 at 8:15

8 votes

2 answers

583 views

$2$-fiber product is a scheme then map of stacks is representable

asked Nov 29, 2018 at 21:42

8 votes

1 answer

281 views

Stack associated to Lie group and manifold

asked Feb 20, 2019 at 17:03

8 votes

5 answers

2k views

What are Lie groupoids intuitively?

asked Apr 19, 2018 at 15:46

8 votes

2 answers

3k views

What does reduction of structure group of principal bundle say?

asked Aug 26, 2018 at 4:41

8 votes

1 answer

882 views

Examples of ZBMath reviews that motivated you to read the paper

asked Dec 4, 2023 at 15:43

7 votes

1 answer

800 views

Classification of Principal $G$ bundles and vector bundles in smooth sense

asked Sep 10, 2018 at 11:40

7 votes

3 answers

2k views

Atiyah Sequence and Connections on a Principal Bundle

asked May 5, 2019 at 17:10

7 votes

4 answers

1k views

On fundamental groupoid of fundamental groupoid

asked Jun 15, 2019 at 17:51

7 votes

1 answer

745 views

Differential forms of a Lie group giving cohomology of the Lie group

asked Jul 23, 2019 at 13:58

7 votes

1 answer

1k views

Understanding the definition of $G$-gerbe

asked Jan 11, 2019 at 12:05

7 votes

3 answers

1k views

Encounters with partitions of unity

asked Oct 8, 2019 at 10:29

7 votes

1 answer

388 views

Notions of Lie 2-groupoids

asked May 20, 2020 at 17:55

7 votes

3 answers

1k views

How should one think about the band of a gerbe?

asked Mar 17, 2020 at 14:12

6 votes

0 answers

156 views

Geometric theory for cohomology groups $H^p(M;\mathbb{Z})$

asked Apr 7, 2020 at 11:36

6 votes

1 answer

374 views

De Rham cohomology of Lie groupoid

asked Jul 11, 2019 at 21:51

6 votes

3 answers

3k views

Classification of line bundles by second cohomology of a manifold

asked Aug 14, 2018 at 11:27

6 votes

2 answers

335 views

Cocycle description of gerbes

asked May 10, 2018 at 20:49

Stack Exchange Network

149 Questions

Results that are widely accepted but no proof has appeared

What are the occurrences of stacks outside algebraic geometry, differential geometry, and general topology?

When (why) did we allow manifolds to be non-Hausdorff and/or non-second countable?

References on Gerbes

(An introduction to) deformation theory (written) for differential geometers

"a sign that one should be computing K-theory"

Motivation for definition of Quotient stack

Outline of the proof that Cech cohomology and singular cohomology coincide on any locally contractible space

What is there in the book Cohomologie non abélienne by Jean Giraud

Size issues (small/large categories) when defining stacks in the Algebraic/differentiable/topological setting

Are fibered categories fibrant objects in some model structure on Cat/C?

Results in “generalised smooth spaces” that did not hold in the case of smooth manifolds

Motivation for construction of associated fiber bundle from a principal bundle

$2$-fiber product is a scheme then map of stacks is representable

Stack associated to Lie group and manifold

What are Lie groupoids intuitively?

What does reduction of structure group of principal bundle say?

Examples of ZBMath reviews that motivated you to read the paper

Classification of Principal $G$ bundles and vector bundles in smooth sense

Atiyah Sequence and Connections on a Principal Bundle

On fundamental groupoid of fundamental groupoid

Differential forms of a Lie group giving cohomology of the Lie group

Understanding the definition of $G$-gerbe

Encounters with partitions of unity

Notions of Lie 2-groupoids

How should one think about the band of a gerbe?

Geometric theory for cohomology groups $H^p(M;\mathbb{Z})$

De Rham cohomology of Lie groupoid

Classification of line bundles by second cohomology of a manifold

Cocycle description of gerbes