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Feb 8, 2018 at 21:29 comment added Klint I am sorry, I was quite confused about that.
Feb 8, 2018 at 21:29 vote accept Klint
Feb 1, 2018 at 14:25 comment added Jeff Yelton Maybe the real questions concern the homomorphism $\Gamma_g \to \mathrm{Sp}(2g)$ itself. A lot is already understood about the restriction to the hyperelliptic modular group (e.g. the precise image in $\mathrm{Sp}(2g)$), and if you ask a more specific question about this restriction I may be able to answer it.
Feb 1, 2018 at 14:23 comment added Jeff Yelton I don't really understand what you're asking. Isn't the characterization of $H_1(S, \mathbb{Q})$ as a representation of $\mathrm{Sp}(2g)$ tautological? As in, we are realizing $\mathrm{Sp}(2g)$ as the group of automorphisms of $H_1(S, \mathbb{Q})$ which preserve the intersection pairing.
Feb 1, 2018 at 5:46 answer added abx timeline score: 3
Jan 31, 2018 at 22:08 review First posts
Jan 31, 2018 at 22:15
Jan 31, 2018 at 22:06 history asked Klint CC BY-SA 3.0