Some stable homology calculations and Occam's razor for Hodge structures

Abstract

Motivated by motivic zeta function calculations, Vakil and Wood in [VMW12] made several conjectures regarding the topology of subspaces of symmetric products. The purpose of this note is to prove two of these conjectures and disprove a strengthening of one of them.

7 pages

References in corpus (1)

• Discriminants in the Grothendieck Ring

Cited by in corpus (4)

• Discriminants in the Grothendieck Ring
• Representation stability in cohomology and asymptotics for families of varieties over finite fields
• On the cohomology of certain subspaces of ${Sym}^n({\P }^1)$ and Occam's razor for Hodge structures
• Strong stability and shifted stability for the cohomology of configuration spaces