Algebraic and geometric topology New Brunswick, NJ, 6–13 July 1983 ).
Edited by A. Ranicki, N. Levitt, and F. Quinn .
Lecture Notes In Mathematics 1126 .
Springer (Cham, Switzerland ),
1985 .
MR
802782 Zbl
0553.00007 book
People
BibTeX
@book {key802782m,
TITLE = {Algebraic and geometric topology},
EDITOR = {Ranicki, A. and Levitt, N. and Quinn,
F.},
SERIES = {Lecture Notes In Mathematics},
NUMBER = {1126},
PUBLISHER = {Springer},
ADDRESS = {Cham, Switzerland},
YEAR = {1985},
PAGES = {ii+423},
DOI = {10.1007/BFb0074435},
NOTE = {(New Brunswick, NJ, 6--13 July 1983).
MR:802782. Zbl:0553.00007.},
ISSN = {0075-8434},
ISBN = {9783540152354},
}
A. Ranicki :
“The algebraic theory of torsion, I: Foundations 199–237
in
Algebraic and geometric topology
(New Brunswick, NJ, 6–13 July 1983 ).
Edited by A. Ranicki, N. Levitt, and F. Quinn .
Lecture Notes In Mathematics 1126 .
Springer (Cham, Switzerland ),
1985 .
Part II was published in \( K \) -Theory 1 :2 (1987)
MR
802792 Zbl
0567.57013 incollection
People
BibTeX
@incollection {key802792m,
AUTHOR = {Ranicki, Andrew},
TITLE = {The algebraic theory of torsion, {I}:
{F}oundations},
BOOKTITLE = {Algebraic and geometric topology},
EDITOR = {Ranicki, A. and Levitt, N. and Quinn,
F.},
SERIES = {Lecture Notes In Mathematics},
NUMBER = {1126},
PUBLISHER = {Springer},
ADDRESS = {Cham, Switzerland},
YEAR = {1985},
PAGES = {199--237},
DOI = {10.1007/BFb0074445},
NOTE = {(New Brunswick, NJ, 6--13 July 1983).
Part II was published in \$K\$-\textit{Theory}
\textbf{1}:2 (1987). MR:802792. Zbl:0567.57013.},
ISSN = {0075-8434},
ISBN = {9783540152354},
}
A. Ranicki :
“Bordism of automorphisms of manifolds from the algebraic \( L \) -theory point of view ,”
pp. 314–327
in
Prospects in topology: Proceedings of a conference in honor of William Browder
(Princeton, NJ, March 1994 ).
Edited by F. Quinn .
Annals of Mathematics Studies 138 .
Princeton University Press ,
1995 .
MR
1368666 Zbl
0933.57033 incollection
Abstract
People
BibTeX
Among other things, Browder [1968] initiated the application of surgery theory to the bordism of automorphisms of manifolds and the related study of fibred knots and open book decompositions. In this paper the bordism of automorphisms of high-dimensional manifolds is considered from the point of view of the localization exact sequence in algebraic \( L \) -theory.
@incollection {key1368666m,
AUTHOR = {Ranicki, Andrew},
TITLE = {Bordism of automorphisms of manifolds
from the algebraic \$L\$-theory point
of view},
BOOKTITLE = {Prospects in topology: {P}roceedings
of a conference in honor of {W}illiam
{B}rowder},
EDITOR = {Quinn, Frank},
SERIES = {Annals of Mathematics Studies},
NUMBER = {138},
PUBLISHER = {Princeton University Press},
YEAR = {1995},
PAGES = {314--327},
NOTE = {(Princeton, NJ, March 1994). MR:1368666.
Zbl:0933.57033.},
ISSN = {0066-2313},
ISBN = {9780691027289},
}
E. K. Pedersen, F. Quinn, and A. Ranicki :
“Controlled surgery with trivial local fundamental groups 421–426
in
High-dimensional manifold topology
(Trieste, Italy, 21 May–8 June 2001 ).
Edited by F. T. Farrell and W. Lück .
World Scientific (River Edge, NJ ),
2003 .
MR
2048731 Zbl
1050.57025 ArXiv
math/0111269 incollection
Abstract
People
BibTeX
We provide a proof of the controlled surgery sequence, including stability, in the special case that the local fundamental groups are trivial. Stability is a key ingredient in the construction of exotic homology manifolds by Bryant, Ferry, Mio and Weinberger, but no proof has been available. The development given here is based on work of M. Yamasaki.
@incollection {key2048731m,
AUTHOR = {Pedersen, Erik Kj{\ae}r and Quinn, Frank
and Ranicki, Andrew},
TITLE = {Controlled surgery with trivial local
fundamental groups},
BOOKTITLE = {High-dimensional manifold topology},
EDITOR = {Farrell, F. T. and L\"uck, W.},
PUBLISHER = {World Scientific},
ADDRESS = {River Edge, NJ},
YEAR = {2003},
PAGES = {421--426},
DOI = {10.1142/9789812704443_0018},
NOTE = {(Trieste, Italy, 21 May--8 June 2001).
ArXiv:math/0111269. MR:2048731. Zbl:1050.57025.},
ISBN = {9812382232},
}
Exotic homology manifolds: Proceedings of the mini-workshop Oberwolfach, Germany, 29 June–5 July 2003 ).
Edited by F. Quinn and A. Ranicki .
Geometry and Topology Monographs 9 .
Geometry & Topology Publications (Coventry, UK ),
2006 .
MR
2216238 Zbl
1104.57001 book
People
BibTeX
Frank Stringfellow Quinn, III
Related
@book {key2216238m,
TITLE = {Exotic homology manifolds: {P}roceedings
of the mini-workshop},
EDITOR = {Quinn, Frank and Ranicki, Andrew},
SERIES = {Geometry and Topology Monographs},
NUMBER = {9},
PUBLISHER = {Geometry \& Topology Publications},
ADDRESS = {Coventry, UK},
YEAR = {2006},
PAGES = {153},
DOI = {10.2140/gtm.2006.9},
NOTE = {(Oberwolfach, Germany, 29 June--5 July
2003). MR:2216238. Zbl:1104.57001.},
ISSN = {1464-8989},
}
W. Mio and A. Ranicki :
“The quadratic form \( E_8 \) and exotic homology manifolds 33–66
in
Exotic homology manifolds: Proceedings of the mini-workshop
(Oberwolfach, Germany, 29 June–5 July 2003 ).
Edited by F. Quinn and A. Ranicki .
Geometry and Topology Monographs 9 .
Geometry & Topology Publications (Coventry, UK ),
2006 .
Dedicated to John Bryant on his 60th birthday.
MR
2222490 Zbl
1109.57016 ArXiv
math/0403261 incollection
Abstract
People
BibTeX
@incollection {key2222490m,
AUTHOR = {Mio, Washington and Ranicki, Andrew},
TITLE = {The quadratic form \$E_8\$ and exotic
homology manifolds},
BOOKTITLE = {Exotic homology manifolds: {P}roceedings
of the mini-workshop},
EDITOR = {Quinn, Frank and Ranicki, Andrew},
SERIES = {Geometry and Topology Monographs},
NUMBER = {9},
PUBLISHER = {Geometry \& Topology Publications},
ADDRESS = {Coventry, UK},
YEAR = {2006},
PAGES = {33--66},
DOI = {10.2140/gtm.2006.9.33},
URL = {https://msp.org/gtm/2006/09/gtm-2006-09-004p.pdf},
NOTE = {(Oberwolfach, Germany, 29 June--5 July
2003). Dedicated to John Bryant on his
60th birthday. ArXiv:math/0403261. MR:2222490.
Zbl:1109.57016.},
ISSN = {1464-8989},
}
A. Ranicki and M. Yamasaki :
“Controlled \( L \) -theory 105–153
in
Exotic homology manifolds: Proceedings of the mini-workshop
(Oberwolfach, Germany, 29 June–5 July 2003 ).
Edited by F. Quinn and A. Ranicki .
Geometry & Topology Monographs 9 .
Geometry & Topology Publications (Coventry, UK ),
2006 .
MR
2222493 Zbl
1127.57014 ArXiv
math/0402217 incollection
Abstract
People
BibTeX
We develop an epsilon-controlled algebraic \( L \) -theory, extending our earlier work on epsilon-controlled algebraic \( K \) -theory. The controlled \( L \) -theory is very close to being a generalized homology theory; we study analogues of the homology exact sequence of a pair, excision properties, and the Mayer–Vietoris exact sequence. As an application we give a controlled \( L \) -theory proof of the classic theorem of Novikov on the topological invariance of the rational Pontrjagin classes.
@incollection {key2222493m,
AUTHOR = {Ranicki, Andrew and Yamasaki, Masayuki},
TITLE = {Controlled \$L\$-theory},
BOOKTITLE = {Exotic homology manifolds: {P}roceedings
of the mini-workshop},
EDITOR = {Quinn, Frank and Ranicki, Andrew},
SERIES = {Geometry \& Topology Monographs},
NUMBER = {9},
PUBLISHER = {Geometry \& Topology Publications},
ADDRESS = {Coventry, UK},
YEAR = {2006},
PAGES = {105--153},
DOI = {10.2140/gtm.2006.9.105},
URL = {https://msp.org/gtm/2006/09/gtm-2006-09-007s.pdf},
NOTE = {(Oberwolfach, Germany, 29 June--5 July
2003). ArXiv:math/0402217. MR:2222493.
Zbl:1127.57014.},
ISSN = {1464-8989},
}
