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Rational homotopy type of Hilbert scheme components

What is known about rational homotopy type of irreducible component of $Hilb^n(\mathbb C^k)$ containing configuration space? I've searched arXiv for a while and found nothing but surmise that Betti ...
Denis T's user avatar
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4 votes
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108 views

Finite spatial realization of relative minimal sullivan models

In their book "Algebraic Models in Geometry" (Felix, Oprea, Tanre) the authors claim that: "Each finite type relative minimal cdga $(∧V ⊗∧W,D)$ is the relative minimal model of a fibration $p: E → B$ ...
ort96's user avatar
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3 votes
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Formality of Sullivan Representatives

Suppose we have a map $f : \mathcal{A} \to \mathcal{B}$ between two formal, simply connected CDGAs, with induced map on cohomology $H(f) : H(\mathcal{A}) \to H(\mathcal{B})$. Further, suppose we have ...
kelly maggs's user avatar