dc.creator | Galatius, S | |
dc.creator | Randal-Williams, Oscar | |
dc.date.accessioned | 2017-04-06 | |
dc.date.accessioned | 2018-11-24T23:27:26Z | |
dc.date.available | 2017-07-18T09:12:43Z | |
dc.date.available | 2018-11-24T23:27:26Z | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/265641 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3980 | |
dc.description.abstract | We prove a homological stability theorem for moduli spaces of simply connected manifolds of dimension 2n > 4, with respect to forming connected sum with S$^{n}$ x S$^{n}$ . This is analogous to Harer's stability theorem for the homology of mapping class groups. Combined with previous work of the authors, it gives a calculation of the homology of the moduli spaces of manifolds diffeomorphic to connected sums of S$^{n}$ x S$^{n}$ in a range of degrees. | |
dc.language | en | |
dc.publisher | American Mathematical Society | |
dc.publisher | Journal of the American Mathematical Society | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
dc.title | Homological stability for moduli spaces of high dimensional manifolds. I | |
dc.type | Article | |