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▫$s$▫-Cobordism classification of 4-manifolds through the group of homotopy self-equivalences
ID
Hegenbarth, Friedrich
(
Author
),
ID
Pamuk, Mehmetcik
(
Author
),
ID
Repovš, Dušan
(
Author
)
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Abstract
The aim of this paper is to give an ▫$s$▫-cobordism classification of topological 4 manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of 4-manifolds. Using this braid together with the modified surgery theory of Kreck, we give an ▫$s$▫-cobordism classification for certain 4-manifolds with fundamental group ▫$\pi$▫, such that cd ▫$\pi \le 2$▫.
Language:
English
Keywords:
s-cobordism
,
4-manifold
,
cohomological dimension
,
homotopy self-equivalence
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Year:
2015
Number of pages:
Str. 1107-1121
Numbering:
Vol. 12, iss. 3
PID:
20.500.12556/RUL-111306
UDC:
512.666.855
ISSN on article:
1660-5446
DOI:
10.1007/s00009-014-0456-4
COBISS.SI-ID:
17087577
Publication date in RUL:
27.09.2019
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1040
Downloads:
500
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Record is a part of a journal
Title:
Mediterranean journal of mathematics
Shortened title:
Mediterr. j. math.
Publisher:
Springer Nature
ISSN:
1660-5446
COBISS.SI-ID:
13561433
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