62 citations · 157 across the 19 of their papers we have counts for
4 papers · 1 filter
The framed little 2-discs operad and diffeomorphisms of handlebodies
Jeffrey Giansiracusa
The framed little 2-discs operad is homotopy equivalent to a cyclic operad. We show that the derived modular envelope of this cyclic operad (i.e., the modular operad freely generat…
Vanishing of universal characteristic classes for handlebody groups and boundary bundles
Jeffrey Giansiracusa, Ulrike Tillmann
Using certain Thom spectra appearing in the study of cobordism categories, we show that the odd half of the Miller-Morita-Mumford classes on the mappping class group of a surface w…
The diffeomorphism group of a K3 surface and Nielsen realization
Jeffrey Giansiracusa
The Nielsen Realization problem asks when the group homomorphism from Diff(M) to pi_0 Diff(M) admits a section. For M a closed surface, Kerckhoff proved that a section exists over…
The stable mapping class group of simply connected 4-manifolds
Jeffrey Giansiracusa
We consider mapping class groups Γ(M) = pi_0 Diff(M fix \partial M) of smooth compact simply connected oriented 4-manifolds M bounded by a collection of 3-spheres. We show that if…