User Praphulla Koushik

3 votes

4 answers

3k views

References on principal G bundle and connections

asked Nov 17, 2017 at 17:23

3 votes

1 answer

1k views

Prerequisites for reading characteristic classes

asked Jan 26, 2018 at 11:37

3 votes

1 answer

578 views

How does one introduce characteristic classes [closed]

asked Feb 13, 2018 at 13:57

3 votes

0 answers

476 views

Applications of Ambrose-Singer theorem on holonomy

asked Aug 28, 2018 at 20:21

3 votes

1 answer

488 views

Motivation for classifying vector bundles

asked Sep 8, 2018 at 15:50

3 votes

3 answers

1k views

Lie algebra bundle associated to a Lie group bundle

asked Jul 26, 2018 at 12:29

3 votes

2 answers

578 views

Understanding definition of gerbe over a stack

asked Jul 29, 2018 at 19:32

3 votes

2 answers

1k views

Understanding the definition of atlas of a stack over the category of manifolds

asked Jun 28, 2018 at 7:11

3 votes

1 answer

368 views

Proper and etale groupoid is locally a translation groupoid

asked Jun 19, 2018 at 15:42

3 votes

1 answer

271 views

Examples of of gerbe over stacks in terms of manifolds

asked Nov 28, 2018 at 14:42

3 votes

1 answer

1k views

Diagonal is representable then any morphism is representable

asked Nov 29, 2018 at 10:41

3 votes

0 answers

156 views

Criterion for a sheaf $\mathfrak{S}^{op}\rightarrow (Set)$ to be representable

asked Jan 2, 2019 at 7:56

3 votes

1 answer

713 views

Principal bundles and fibre bundles

asked Mar 13, 2019 at 9:58

3 votes

4 answers

3k views

Alternative (easier) Proof of Ambrose Singer Holonomy theorem

asked Sep 24, 2018 at 17:48

3 votes

1 answer

277 views

"Covering-flat" part in definition of morphism of sites

asked Jul 31, 2019 at 7:07

3 votes

0 answers

788 views

Road map for moduli space/moduli problem/moduli stack

asked Aug 3, 2019 at 4:13

3 votes

0 answers

185 views

Lie group (topological group) action on differentiable stack (topological stack)

asked Feb 25, 2020 at 18:28

3 votes

1 answer

743 views

What are some efficient ways to keep a note of results when reading a research article in mathematics?

asked Apr 11, 2020 at 15:40

3 votes

1 answer

167 views

Models for computing cohomology of Lie groupoids

asked May 2, 2020 at 15:57

3 votes

0 answers

151 views

Other interesting notions when we change topology on $\text{Sch}/S$

asked Sep 7, 2019 at 14:14

3 votes

0 answers

466 views

Prerequisites for understanding algebraic geometry of “algebraic gerbes”

asked Aug 20, 2019 at 19:37

3 votes

0 answers

246 views

First thoughts about fundamental group of a topological (Lie) groupoid

asked Aug 26, 2019 at 9:47

3 votes

0 answers

84 views

stack (in groupoids) over a site $\mathcal{C}$

asked Aug 31, 2019 at 5:10

3 votes

3 answers

523 views

Lie groupoids in practice

asked Nov 15, 2019 at 13:18

3 votes

2 answers

399 views

Morita equivalent Lie groupoids

asked Feb 5, 2021 at 10:41

3 votes

1 answer

747 views

Are cohomology functors sheaves?

asked Jul 9, 2020 at 17:45

3 votes

1 answer

346 views

Is the notion of a 2-category introduced to fix/forget the size issues in the definition of (an ordinary) category?

asked Mar 14, 2021 at 4:27

3 votes

2 answers

349 views

Use of theory of Lie algebroids in (better) understanding of generalised complex structures

asked Jul 12, 2021 at 15:48

3 votes

1 answer

434 views

Motivation for the "weird formula" of Courant bracket

asked Aug 20, 2021 at 17:41

3 votes

2 answers

599 views

Lie algebroid associated to a vector bundle

asked Dec 11, 2021 at 9:44

Stack Exchange Network

149 Questions

References on principal G bundle and connections

Prerequisites for reading characteristic classes

How does one introduce characteristic classes [closed]

Applications of Ambrose-Singer theorem on holonomy

Motivation for classifying vector bundles

Lie algebra bundle associated to a Lie group bundle

Understanding definition of gerbe over a stack

Understanding the definition of atlas of a stack over the category of manifolds

Proper and etale groupoid is locally a translation groupoid

Examples of of gerbe over stacks in terms of manifolds

Diagonal is representable then any morphism is representable

Criterion for a sheaf $\mathfrak{S}^{op}\rightarrow (Set)$ to be representable

Principal bundles and fibre bundles

Alternative (easier) Proof of Ambrose Singer Holonomy theorem

"Covering-flat" part in definition of morphism of sites

Road map for moduli space/moduli problem/moduli stack

Lie group (topological group) action on differentiable stack (topological stack)

What are some efficient ways to keep a note of results when reading a research article in mathematics?

Models for computing cohomology of Lie groupoids

Other interesting notions when we change topology on $\text{Sch}/S$

Prerequisites for understanding algebraic geometry of “algebraic gerbes”

First thoughts about fundamental group of a topological (Lie) groupoid

stack (in groupoids) over a site $\mathcal{C}$

Lie groupoids in practice

Morita equivalent Lie groupoids

Are cohomology functors sheaves?

Is the notion of a 2-category introduced to fix/forget the size issues in the definition of (an ordinary) category?

Use of theory of Lie algebroids in (better) understanding of generalised complex structures

Motivation for the "weird formula" of Courant bracket

Lie algebroid associated to a vector bundle