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pro vyhledávání: '"Andrew Ranicki"'
Autor:
Andrew Ranicki
Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool no
Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to
Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry
The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Ge
The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Ge
Autor:
Andrew Ranicki
This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomia
Publikováno v:
Oberwolfach Reports. 13:3149-3195
Publikováno v:
Algebraic & Geometric Topology
Algebr. Geom. Topol. 18, no. 7 (2018), 4069-4091
Algebr. Geom. Topol. 18, no. 7 (2018), 4069-4091
Meyer showed that the signature of a closed oriented surface bundle over a surface is a multiple of $4$, and can be computed using an element of $H^2(\mathsf{Sp}(2g, \mathbb{Z}),\mathbb{Z})$. Denoting by $1 \to \mathbb{Z} \to \widetilde{\mathsf{Sp}(2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12c560b71ec4a7f1278c4e3bf2092206
https://hdl.handle.net/21.11116/0000-0003-CFE6-121.11116/0000-0003-CFE8-F21.11116/0000-0003-CFE9-E21.11116/0000-0003-CFEF-8
https://hdl.handle.net/21.11116/0000-0003-CFE6-121.11116/0000-0003-CFE8-F21.11116/0000-0003-CFE9-E21.11116/0000-0003-CFEF-8
Werner Meyer constructed a cocycle in $H^2(Sp(2g, \mathbb{Z}); \mathbb{Z})$ which computes the signature of a closed oriented surface bundle over a surface, with fibre a surface of genus g. By studying properties of this cocycle, he also showed that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9807693041f426d20b44157b0f680e2d
Autor:
Michael Crabb, Andrew Ranicki
Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results re