Timeline for Rational homotopy type of Hilbert scheme components
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 31, 2017 at 12:02 | comment | added | Denis T | Inclusion of configuration space is (un)fortunately nullhomotopic; the question is about the fiber over $n$-tuple point. It's possible that they are related nonetheless, because Fulton compactification (which is an easy-going analogue of Hilb) can be used in computation of Conf dga model. | |
| May 31, 2017 at 9:35 | comment | added | Mark Grant | I'm afraid I don't know anything about Hilbert schemes, but if this irreducible component is homotopy equivalent to a configuration space of $\mathbb{C}^k$ then the answer is "a lot" and I can give references. | |
| May 23, 2017 at 22:58 | comment | added | Saal Hardali | You might know this already but for the case of $k=2$ or surfaces in general the cohomology is intricately related to Vertex algebras arxiv.org/pdf/math/0009132.pdf | |
| May 23, 2017 at 21:04 | history | asked | Denis T | CC BY-SA 3.0 |