Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options not deleted user 3545

Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

4 votes

A comprehensive functor of points approach for manifolds

I certainly wouldn't call it an "attack with abstract nonsense", but the "functor of points" language can also be used in the context of differentiable manifolds. A very good place to start would be …
Marty's user avatar
  • 13.3k
6 votes

Harmonic Expansion

I'd look in books on representation theory rather than books on homogeneous vector bundles for this sort of thing. Perhaps George Mackey's famous book "Unitary group representations in physics, proba …
Marty's user avatar
  • 13.3k
11 votes

Stokes theorem for manifolds with corners?

If you are looking for an online reference, you can check out Brian Conrads course notes on differential geometry. Near the bottom of that page, you can find the handout with Stokes theorem for manif …
Marty's user avatar
  • 13.3k
7 votes
Accepted

When is a homogeneous space a variety?

I'll try to answer both questions, though I will change the first question somewhat. Let's work in the setting of a real reductive algebraic group $G$ and a closed subgroup $H \subset G$. Your fir …
Marty's user avatar
  • 13.3k
1 vote

Does $\mathrm{E}_7/(\mathrm{SU}_8/(\mathbb{Z}/2))$ carry an almost complex structure?

The following is mostly bogus, based on my overly quick reading and misunderstanding of the question: No. $E_7 / (SU(8)/\mu_2)$ (where $E_7$ here denotes the compact real Lie group) is not a Hermiti …
Marty's user avatar
  • 13.3k
23 votes
1 answer
2k views

Do hyperKahler manifolds live in quaternionic-Kahler families?

A geometry question that I thought about more seriously a few years ago... thought it'd be a good first question for MO. I'm aware that there are a number of Torelli type theorems now proven for comp …
Marty's user avatar
  • 13.3k
12 votes

Historical use of figures in geometry

Maybe this isn't an answer, but below is a photograph of the tablet BM15285 (British Museum catalog #15285). It's a series of geometry problems, from c.1800 BCE (+/- 200 years?). There are plenty mo …
Marty's user avatar
  • 13.3k