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Oct
14
revised Generalization for Leray Hirsch theorem for Principal $G$-bundle
Made it so the last paragraph isn't completely in LaTeX
Oct
14
suggested approved edit on Generalization for Leray Hirsch theorem for Principal $G$-bundle
Sep
4
comment characteristic classes of homotopy equivalent manifolds
@DannyRuberman Thanks for the correction, I tried to answer the question too fast. The $\lambda$-invariant for Milnor's exotic spheres are defined in terms of Pontryagin classes, but of course are not related to the (trivial) Pontryagin classes of the exotic sphere itself but instead those of an $8$-manifold it bounds.
Sep
4
revised characteristic classes of homotopy equivalent manifolds
added 201 characters in body
Sep
4
awarded  Enlightened
Sep
4
awarded  Nice Answer
Sep
4
answered characteristic classes of homotopy equivalent manifolds
Feb
13
awarded  Yearling
Jul
11
comment Euler Class of a vector field
Just take the Euler class of the orthogonal $2$-plane field in $TM$, oriented with respect to $X$ by the right-hand rule. I think this question is more suitable for math.stackexchange.com.
May
11
awarded  Electorate
May
11
answered A question on existence of $Spin^c$-structure $P\to M$
May
8
comment How to prove this Weitzenbock formula?
Does this not follow from equation (4.14) on the previous page, which is Lemma 6.1.7 of Donaldson-Kronheimer?
Apr
1
answered Connection on canonical $\operatorname{Spin}^\mathbb{C}$ spinor bundle on symplectic manifold
Feb
24
answered Bakry-Emery Laplacian and Hodge Decomposition
Feb
13
awarded  Yearling
Jan
20
awarded  Enlightened
Jan
20
awarded  Nice Answer
Jan
20
awarded  Nice Answer
Jan
20
answered Construction of the Casson invariant
Jan
3
reviewed No Action Needed Getting the story of Dynkin and Satake diagrams straight