63 citations · 215 across the 20 of their papers we have counts for
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math.DS2013★ 51 cited
Splitting mixed Hodge structures over affine invariant manifolds
Simion Filip
We prove that affine invariant manifolds in strata of flat surfaces are algebraic varieties. The result is deduced from a generalization of a theorem of Möller. Namely, we prove th…
math.GT2013★ 2 cited
The Lie algebra of the fundamental group of a surface as a symplectic module
Simion Filip
This note provides a formula for the character of the Lie algebra of the fundamental group of a surface, viewed as a module over the symplectic group.
math.DS2013★ 63 cited
Semisimplicity and rigidity of the Kontsevich-Zorich cocycle
Simion Filip
We prove that invariant subbundles of the Kontsevich-Zorich cocycle respect the Hodge structure. In particular, we establish a version of Deligne semisimplicity in this context. Th…