Benjamin Audoux (2014)
Winter Braids Lecture Notes
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These notes were written for a series of lectures on the Rasmussen invariant and the Milnor conjecture, given at Winter Braids IV in February 2014.
John C. Morgan II (1975)
Colloquium Mathematicae
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Bambusi, Dario, Gaeta, Giuseppe (2002)
Mathematical Physics Electronic Journal [electronic only]
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
Studia Mathematica
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
Marek Jarnicki, Peter Pflug
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V. Losert, H. Rindler (1987)
Colloquium Mathematicae
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Mircea Puta (1984)
Časopis pro pěstování matematiky
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W. L. Kulik (1989)
Banach Center Publications
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D. R. Georgijević (1987)
Matematički Vesnik
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de la Llave, R. (2003)
Mathematical Physics Electronic Journal [electronic only]
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Jian-Qiang, Li, Zexuan, Zhu, Zhen, Ji, Hai-Long, Pei (2010)
Mathematical Problems in Engineering
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Takayuki Morifuji (2009)
Banach Center Publications
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We discuss relations among several invariants of 3-manifolds including Meyer's function, the η-invariant, the von Neumann ρ-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.
S. V. Astashkin, F. A. Sukochev (2008)
Banach Center Publications
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A new set of sufficient conditions under which every sequence of independent identically distributed functions from a rearrangement invariant (r.i.) space on [0,1] spans there a Hilbertian subspace are given. We apply these results to resolve open problems of N. L. Carothers and S. L. Dilworth, and of M. Sh. Braverman, concerning such sequences in concrete r.i. spaces.
Sebastian Goette (2014)
Journal of the European Mathematical Society
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As an application, we compute the Eells–Kuiper and t-invariants of certain cohomogeneity one manifolds that were studied by Dearricott, Grove, Verdiani, Wilking, and Ziller. In particular, we determine the diffeomorphism type of a new manifold of positive sectional curvature.
Junfeng Liu (2017)
Czechoslovak Mathematical Journal
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We discuss the invariant subspace problem of polynomially bounded operators on a Banach space and obtain an invariant subspace theorem for polynomially bounded operators. At the same time, we state two open problems, which are relative propositions of this invariant subspace theorem. By means of the two relative propositions (if they are true), together with the result of this paper and the result of C. Ambrozie and V. Müller (2004) one can obtain an important conclusion that every polynomially...
Peter B. Gilkey (1987)
Mathematische Zeitschrift
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L. Makar-Limanov (2001)
Annales Polonici Mathematici
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In my talk I am going to remind you what is the AK-invariant and give examples of its usefulness. I shall also discuss basic conjectures about this invariant and some positive and negative results related to these conjectures.