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Answers
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2
Atiyah-Singer index theorem
29
Has mathoverflow yet led to mathematical breakthroughs?
13
One-step problems in geometry
8
Way to memorize relations between the Sobolev spaces?
26
Is there a complex structure on the 6-sphere?
1
Why are flat morphisms “flat?”
12
de Rham cohomology and flat vector bundles
12
Is there an analogue of curvature in algebraic geometry?
12
What is a Lagrangian submanifold intuitively?
11
“The complex version of Nash’s theorem is not true”
1
Algebraic Geometry versus Complex Geometry
12
Which nonlinear PDEs are of interest to algebraic geometers and why?
3
What are examples of good toy models in mathematics?
2
Intuition behind moduli space of curves
9
Gauge theory construction of moduli of vector bundles
10
Higher Dimensional Gromov-Witten Theories
3
Algebraic description of compact smooth manifolds?
9
Fundamental group of 3-manifold with boundary
10
What can you do with a compact moduli space?
9
Geometry meaning of higher cohomology of sheaves?
9
How can we detect the existence of almost-complex structures?
3
(nontrivial) isotrivial family of elliptic curves
10
the central issues in complex geometry
7
Cotangent bundle of a submanifold
9
Why these particular numerical factors in the definition of Gaussian curvature?
18
Integration and Stokes' theorem for vector bundle-valued differential forms?
5
How can I measure the Morse index in infinite dimensions?
5
Topological results from geometry
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How are these two ways of thinking about the cross product related?
9
look into Delzant Polytope
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