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作者:Ozawa, N; Popa, S
作者单位:University of Tokyo; University of California System; University of California Los Angeles
摘要:We prove several unique prime factorization results for tensor products of type II1 factors coming from groups that can be realized either as subgroups of hyperbolic groups or as discrete subgroups of connected Lie groups of real rank 1. In particular, we show that if Rcircle timesLF(r 1) circle times...circle times LFr m is isomorphic to a subfactor in Rcircle timesLF(s 1) circle times...circle times LFs n, for some 2less than or equal tor(i), s(j)less than or equal toinfinity, then mless tha...
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作者:Meeks, WH III; Pérez, J; Ros, A
作者单位:University of Massachusetts System; University of Massachusetts Amherst; University of Granada
摘要:We demonstrate that a properly embedded minimal surface in R-3 with finite genus cannot have one limit end.
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作者:Alexeev, V; Brion, M
作者单位:University System of Georgia; University of Georgia; Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA)
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作者:Carlsson, G; Goldfarb, B
作者单位:Stanford University; State University of New York (SUNY) System; University at Albany, SUNY
摘要:The integral assembly map in algebraic K-theory is split injective for any geometrically finite discrete group with finite asymptotic dimension.
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作者:Wilson, JS
作者单位:University of Birmingham
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作者:Anderson, M; Katsuda, A; Kurylev, Y; Lassas, M; Taylor, M
作者单位:State University of New York (SUNY) System; Stony Brook University; Okayama University; Loughborough University; Aalto University; University of North Carolina; University of North Carolina Chapel Hill
摘要:This paper explores and ties together three themes. The first is to establish regularity of a metric tensor, on a manifold with boundary, on which there are given Ricci curvature bounds, on the manifold and its boundary, and a Lipschitz bound on the mean curvature of the boundary. The second is to establish geometric convergence of a (sub)sequence of manifolds with boundary with such geometrical bounds and also an upper bound on the diameter and a lower bound on injectivity and boundary inject...
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作者:Laures, G
作者单位:Ruprecht Karls University Heidelberg
摘要:We construct the Witten orientation of the topological modular forms spectrum tmf in the K(1)-local setting by attaching E-infinity cells to the bordism theory MO(8). We also identify the KO-homology of tmf with the ring of divided congruences.
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作者:Kenig, CE; Ponce, G; Vega, L
作者单位:University of Chicago; University of California System; University of California Santa Barbara; University of Basque Country