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This tag is used if a reference is needed in a paper or textbook on a specific result.

3 votes
1 answer
1k views

Prerequisites for reading characteristic classes

Can some one tell me what are the prerequisites for learning characteristic classes as they are in book Foundations of Differential geometry by Kobayashi and Nomizu. I only read first two chapters of …
Praphulla Koushik's user avatar
5 votes
0 answers
238 views

Reference request : Quotient manifold theorem for Lie groupoid action on a manifold

Let $G$ be a Lie group and $M$ be a smooth manifold. Let $G\times M\rightarrow M$ be a smooth map giving a free, proper action of $G$ On $M$. Then, by quotient manifold theorem, we see that there exis …
Praphulla Koushik's user avatar
15 votes
3 answers
1k views

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

Question is as mentioned in the title: Are there any introductory notes on deformation theory that are easier to read for differential geometers? I am learning about differential graded Lie algebras ( …
Praphulla Koushik's user avatar
4 votes
0 answers
286 views

MSRI Workshop videos and lecture notes

I am referring to MSRI workshop "Introductory Workshop on Algebraic Stacks, Intersection Theory, and Non-Abelian Hodge Theory". There are videos and lecture notes available which can be seen on click …
Praphulla Koushik's user avatar
2 votes

References on principal G bundle and connections

I realised one can not (should not) escape from reading Kobayashi and Nomizu’s book. Other books that helped me to learn more about principal bundles are Differential Geometry: Connections, Curvatu …
Praphulla Koushik's user avatar
4 votes
0 answers
1k views

English translation of G.Laumon, L.Moret-Bailly book Champs algébriques

Is there an English translation of G.Laumon, L.Moret-Bailly book Champs algébriques. Most questions on this site on stacks received this book as reference in comments/answers. So, I want to ask if …
Praphulla Koushik's user avatar
3 votes
4 answers
3k views

References on principal G bundle and connections

I am trying to understand about principal G bundle given a Lie group $G$. For that, I started with the action of Lie groups on manifold $M$ and convinced myself that if the action is smooth, proper, a …
Praphulla Koushik's user avatar
3 votes
0 answers
762 views

Road map for moduli space/moduli problem/moduli stack

I am familiar with (most of the) contents of Angelo Vistoli's notes on Descent theory (Stacks). I am also comfortable with basics of Schemes, their Cohomology (Cech), from Hartshorne's Algebraic geome …
Praphulla Koushik's user avatar
3 votes
0 answers
460 views

Prerequisites for understanding algebraic geometry of “algebraic gerbes”

I am trying to learn about algebraic geometry of gerbes. I am familiar with set up of gerbes in the case of differential geometry. Though there is some similarity between differentiable gerbes and ge …
Praphulla Koushik's user avatar
16 votes
4 answers
2k views

References on Gerbes

I am looking for some references related to gerbes and their differential geometry. Almost every article I have seen that is related to gerbes there is a common reference that is Giraud's book Cohomo …
Praphulla Koushik's user avatar
3 votes
3 answers
1k views

Lie algebra bundle associated to a Lie group bundle

I was reading the paper Non abelian Differentiable gerbes (page 24) and came across notion of Lie algebra bundles associated to a Lie group bundle. I am not comfortable with these notions and google …
Praphulla Koushik's user avatar