Zobrazeno 1 - 6
of 6
pro vyhledávání: '"19J25, 19K99"'
Autor:
Hou, Bingzhe, Liu, Hongzhi
In this paper, we give a new description of the group structure of the relative structure group of PL manifolds with boundary, and obtain a surgery exact sequence in the category of groups. Then we focus on the relative $L$-group of PL manifolds with
Externí odkaz:
http://arxiv.org/abs/1908.07451
Autor:
Piazza, Paolo, Schick, Thomas
Publikováno v:
AKT 1 (2016) 109-154
The main result of this paper is a new and direct proof of the natural transformation from the surgery exact sequence in topology to the analytic K-theory sequence of Higson and Roe. Our approach makes crucial use of analytic properties and new index
Externí odkaz:
http://arxiv.org/abs/1309.4370
Autor:
Paolo Piazza, Thomas Schick
Publikováno v:
Ann. K-Theory 1, no. 2 (2016), 109-154
The main result of this paper is a new and direct proof of the natural transformation from the surgery exact sequence in topology to the analytic K-theory sequence of Higson and Roe. Our approach makes crucial use of analytic properties and new index
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb93f616207b60b1654ffb3bea7a42ab
Autor:
John Roe, Nigel Higson
Publikováno v:
K-Theory. 33:301-324
We give geometric constructions leading to analytically controlled Poincarcom- plexes in the sense of the previous paper. In the case of a complete Riemannian manifold we identify the signature of the associated complex with the coarse index of the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef527a6164c67d10e079d77c64d096d5
https://doi.org/10.1007/s10977-005-1559-2
https://doi.org/10.1007/s10977-005-1559-2
Autor:
Nigel Higson, John Roe
Publikováno v:
K-Theory. 33:277-299
We develop the theory of analytically controlled Poincarcomplexes over C ∗ - algebras. We associate a signature in C ∗ -algebra K-theory to such a complex, and we show that it is invariant under bordism and homotopy. Mathematics Subject Classific
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe81585eca1a474dc0e1137edffeebfb
https://doi.org/10.1007/s10977-005-1561-8
https://doi.org/10.1007/s10977-005-1561-8
Autor:
John Roe, Nigel Higson
Publikováno v:
K-Theory. 33:325-346
Using the constructions of the preceding two papers, we construct a natural transformation (after inverting 2) from the Browder-Novikov-Sullivan-Wall surgery exact sequence of a compact manifold to a certain exact sequence of C ∗ -algebra K-theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33a26a2e4e6800e826f2815b128d3cd4
https://doi.org/10.1007/s10977-005-1554-7
https://doi.org/10.1007/s10977-005-1554-7