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Results tagged with dg.differential-geometry
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user 21985
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
9
votes
1
answer
425
views
Atiyah Bott-Shapiro orientation Vs Anderson-Brown-Peterson Splitting
Are the Atiyah-Bott-Shapiro Orientation and the Anderson-Brown-Peterson Splitting compatible in any sense?
The first guess is that the ABS-Orientation is related to the projections o …
- 2,630
8
votes
1
answer
366
views
Morse Theory and proper actions
Is there some reference containing an ellaboration of Morse Theory for proper actions of Lie groups?
- 2,630
7
votes
1
answer
220
views
Five-dimensional manifolds fibering over a fixed hyperbolic surface
I am aware of the classical work by Smale and Barden computing the diffeomorphism type of smooth simply connected 5-manifolds in D. Barden, Simply connected five-manifolds, Ann. of Math. (2) 82 (1965) …
- 2,630
3
votes
2
answers
813
views
Reference for de Rham cohomology for physicists
Do you know a basic reference to introduce an undergraduate student with more physical rather than mathematical background to De Rham cohomology?
The Student (from a Bachelors …
- 2,630
2
votes
0
answers
93
views
A roof genus of high dimensional lens space
Let $p$ be a natural number, and for $i\in \{0,
..., p-1\}$,
denote the irreducible rank one complex representation of $\mathbb{Z}/p$. by $\rho_{i}$.
Let $a=(a_{1},\ldots a_{d}) $ b …
- 2,630