Deformations of Flat Bundles Over Kähler Manifolds

Autor: John J. Millson, William M. Goldman

Publikováno v: Geometry and Topology

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f5b1b1252f82911366f19140328de35c
https://doi.org/10.1201/9781003072386-13

On representation varieties of $3$–manifold groups

Autor: John J. Millson, Michael Kapovich

Publikováno v: Geom. Topol. 21, no. 4 (2017), 1931-1968
Kapovich, M; & Millson, JJ. (2017). On representation varieties of 3-manifold groups. Geometry and Topology, 21(4), 1931-1968. doi: 10.2140/gt.2017.21.1931. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/2f1562bj
Millson, John J.; & Kapovich, Michael. (2013). On representation varieties of 3-manifold groups. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/9qp4s39r

We prove universality theorems ("Murphy's Laws") for representation schemes of fundamental groups of closed 3-dimensional manifolds. We show that germs of SL(2,C)-representation schemes of such groups are essentially the same as germs of schemes of o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30b1aba7a1f51a4a4562dd7ecd73a41e
https://projecteuclid.org/euclid.gt/1508437634

The Hodge conjecture and arithmetic quotients of complex balls

Autor: John J. Millson, Nicolas Bergeron, Colette Moeglin

Publikováno v: Acta Math. 216, no. 1 (2016), 1-125

Let $S$ be a closed Shimura variety uniformized by the complex $n$-ball. The Hodge conjecture predicts that every Hodge class in $H^{2k} (S, \Q)$, $k=0, \ldots, n$, is algebraic. We show that this holds for all degree $k$ away from the neighborhood $

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad99f35ee30cd97d80258586f0a64abd
http://projecteuclid.org/euclid.acta/1485802468

Ideal triangles in Euclidean buildings and branching to Levi subgroups

Autor: John J. Millson, Michael Kapovich, Thomas J. Haines

Publikováno v: Journal of Algebra. 361:41-78

We introduce the notion of ideal triangle in the Bruhat-Tits building associated to a split group -- it is analogous to the usual notion of triangle, but one vertex is "at infinity" in a certain direction. We prove that the algebraic variety of based

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21078567a339548e84dcb084158284c3
https://doi.org/10.1016/j.jalgebra.2012.04.001

The Eigencone and Saturation for Spin(8)

Autor: John J. Millson, Shrawan Kumar, Michael Kapovich

Publikováno v: Pure and Applied Mathematics Quarterly. 5:755-780

We explicitly calculate the system of restricted triangle inequalities for the group PSO(8) given by Belkale-Kumar, thereby explicitly solving the eigenvalues of a sum problem for this group (equivalently describing the side-lengths of geodesic trian

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::61065f8a2b349c71cead2e06cc11489c
https://doi.org/10.4310/pamq.2009.v5.n2.a7