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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
3
votes
Lie algebroid in algebraic geometry
I suggest having a look at
Beĭlinson, A.; Bernstein, J. A proof of Jantzen conjectures.
MR: Matches for: MR=1237825
§1.2 .
https://people.math.harvard.edu/~gaitsgde/grad_2009/BB%20-%20Jantzen.pdf
18
votes
Accepted
What are parabolic bundles good for?
Parabolic bundles were introduced in the 70's by Mehta and Seshadri in the set
up of a Riemann surface with cusps. They were trying to generalize the
Narasimhan-Seshadri correspondence on a compact Ri …