Higher simple structure sets of lens spaces with the fundamental group of arbitrary order
L’udovít Balko; Tibor Macko; Martin Niepel; Tomáš Rusin
Archivum Mathematicum (2019)
- Volume: 055, Issue: 5, page 267-280
- ISSN: 0044-8753
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topBalko, L’udovít, et al. "Higher simple structure sets of lens spaces with the fundamental group of arbitrary order." Archivum Mathematicum 055.5 (2019): 267-280. <http://eudml.org/doc/294524>.
@article{Balko2019,
abstract = {Extending work of many authors we calculate the higher simple structure sets of lens spaces in the sense of surgery theory with the fundamental group of arbitrary order. As a corollary we also obtain a calculation of the simple structure sets of the products of lens spaces and spheres of dimension grater or equal to $3$.},
author = {Balko, L’udovít, Macko, Tibor, Niepel, Martin, Rusin, Tomáš},
journal = {Archivum Mathematicum},
keywords = {fake lens space; higher structure set; $\rho $-invariant; surgery},
language = {eng},
number = {5},
pages = {267-280},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Higher simple structure sets of lens spaces with the fundamental group of arbitrary order},
url = {http://eudml.org/doc/294524},
volume = {055},
year = {2019},
}
TY - JOUR
AU - Balko, L’udovít
AU - Macko, Tibor
AU - Niepel, Martin
AU - Rusin, Tomáš
TI - Higher simple structure sets of lens spaces with the fundamental group of arbitrary order
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 5
SP - 267
EP - 280
AB - Extending work of many authors we calculate the higher simple structure sets of lens spaces in the sense of surgery theory with the fundamental group of arbitrary order. As a corollary we also obtain a calculation of the simple structure sets of the products of lens spaces and spheres of dimension grater or equal to $3$.
LA - eng
KW - fake lens space; higher structure set; $\rho $-invariant; surgery
UR - http://eudml.org/doc/294524
ER -
References
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- Wall, C.T.C., Surgery on compact manifolds, second ed., Mathematical Surveys and Monographs, vol. 69, American Mathematical Society, Providence, RI, 1999, Edited and with a foreword by A. A. Ranicki. MR MR1687388 (2000a:57089) (1999) MR1687388
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