Higher Reidemeister torsion and parametrized Morse theory

Klein, John R.. "Higher Reidemeister torsion and parametrized Morse theory." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1993. [15]-20. <http://eudml.org/doc/221611>.

@inProceedings{Klein1993,
abstract = {This paper constitutes a summary of the author’s Ph.D. thesis [The cell complex construction and higher $R$-torsion for bundles with framed Morse function (Brandeis Univ. 1989)]. Proofs of the results cited here will appear elsewhere.The first section is devoted to outlining a means of passing in a continuous way from the space of pairs $(M,f)$, where $M$ is a compact smooth manifold and $f$ is a Morse function on $M$, into a moduli space for finite cell complexes.In section two the results of section one are applied in special instances to construct a new invariant which is a parametrized analogue of Reidemeister torsion. This invariant takes values in a certain subquotient of higher algebraic $K$-groups of the complex numbers.},
author = {Klein, John R.},
booktitle = {Proceedings of the Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Srní (Czechoslovakia); Physics},
location = {Palermo},
pages = {[15]-20},
publisher = {Circolo Matematico di Palermo},
title = {Higher Reidemeister torsion and parametrized Morse theory},
url = {http://eudml.org/doc/221611},
year = {1993},
}

TY - CLSWK
AU - Klein, John R.
TI - Higher Reidemeister torsion and parametrized Morse theory
T2 - Proceedings of the Winter School "Geometry and Physics"
PY - 1993
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [15]
EP - 20
AB - This paper constitutes a summary of the author’s Ph.D. thesis [The cell complex construction and higher $R$-torsion for bundles with framed Morse function (Brandeis Univ. 1989)]. Proofs of the results cited here will appear elsewhere.The first section is devoted to outlining a means of passing in a continuous way from the space of pairs $(M,f)$, where $M$ is a compact smooth manifold and $f$ is a Morse function on $M$, into a moduli space for finite cell complexes.In section two the results of section one are applied in special instances to construct a new invariant which is a parametrized analogue of Reidemeister torsion. This invariant takes values in a certain subquotient of higher algebraic $K$-groups of the complex numbers.
KW - Proceedings; Geometry; Srní (Czechoslovakia); Physics
UR - http://eudml.org/doc/221611
ER -