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Kreck, Matthias

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Author ID: kreck.matthias Recent zbMATH articles by "Kreck, Matthias"
Published as: Kreck, M.; Kreck, Matthias
External Links: MGP · Wikidata · GND
Documents Indexed: 67 Publications since 1972, including 7 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

49 Publications have been cited 396 times in 279 Documents Cited by Year
Surgery and duality. Zbl 0935.57039
Kreck, Matthias
53
1999
On the classification of topological 4-manifolds with finite fundamental group. Zbl 0616.57009
Hambleton, Ian; Kreck, Matthias
34
1988
A diffeomorphism classification of 7-dimensional homogeneous Einstein manifolds with \(SU(3)\times SU(2)\times U(1)\)-symmetry. Zbl 0649.53029
Kreck, Matthias; Stolz, Stephan
30
1988
Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature. Zbl 0733.53025
Kreck, Matthias; Stolz, Stephan
27
1991
Nonconnected moduli spaces of positive sectional curvature metrics. Zbl 0793.53041
Kreck, Matthias; Stolz, Stephan
21
1993
Cancellation, elliptic surfaces and the topology of certain four- manifolds. Zbl 0779.57015
Hambleton, Ian; Kreck, Matthias
15
1993
Nonorientable 4-manifolds with fundamental group of order 2. Zbl 0830.57012
Hambleton, Ian; Kreck, Matthias; Teichner, Peter
14
1994
Cutting and pasting of manifolds; SK-groups. Zbl 0258.57010
Karras, Ulrich; Kreck, M.; Neumann, W. D.; Ossa, E.
14
1973
\(\mathbf H\mathbf P^ 2\)-bundles and elliptic homology. Zbl 0851.55007
Kreck, Matthias; Stolz, Stephan
13
1993
The Novikov conjecture. Geometry and algebra. Zbl 1058.19001
Kreck, Matthias; Lück, Wolfgang
11
2005
Smooth structures on algebraic surfaces with cyclic fundamental group. Zbl 0609.57008
Hambleton, Ian; Kreck, Matthias
11
1988
Differential algebraic topology. From stratifolds to exotic spheres. Zbl 1420.57002
Kreck, Matthias
10
2010
Topological rigidity for non-aspherical manifolds. Zbl 1196.57018
Kreck, M.; Lück, W.
9
2009
Cancellation of hyperbolic forms and topological four-manifolds. Zbl 0779.57014
Hambleton, Ian; Kreck, Matthias
9
1993
A geometric description of differential cohomology. Zbl 1200.55007
Bunke, Ulrich; Kreck, Matthias; Schick, Thomas
8
2010
Topological 4-manifolds with geometrically two-dimensional fundamental groups. Zbl 1179.57034
Hambleton, Ian; Kreck, Matthias; Teichner, Peter
7
2009
A quick proof of the rational Hurewitz theorem and a computation of the rational homotopy groups of spheres. Zbl 1072.55010
Klaus, Stephan; Kreck, Matthias
7
2004
Stable prime decompositions of four-manifolds. Zbl 0928.57019
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
7
1995
Non-diffeomorphic but homeomorphic knottings of surfaces in the 4-sphere. Zbl 0659.57009
Finashin, S. M.; Kreck, M.; Viro, O. Y.
7
1988
Bordism of diffeomorphisms and related topics. With an appendix by Neal W. Stoltzfus. Zbl 0542.57001
Kreck, Matthias
7
1984
Bordism of diffeomorphisms. Zbl 0329.57014
Kreck, M.
7
1976
Isotopy classes of diffeomorphisms of (k-1)-connected almost- parallelizable 2k-manifolds. Zbl 0421.57009
Kreck, M.
6
1979
Differential forms and 0-dimensional supersymmetric field theories. Zbl 1236.19008
Hohnhold, Henning; Kreck, Matthias; Stolz, Stephan; Teichner, Peter
5
2011
Simply connected asymmetric manifolds. Zbl 1171.57034
Kreck, Matthias
5
2009
Counterexamples to the Kneser conjecture in dimension four. Zbl 0837.57016
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
5
1995
Cancellation of lattices and finite two-complexes. Zbl 0779.57002
Hambleton, Ian; Kreck, Matthias
5
1993
Homotopy self-equivalences of 4-manifolds. Zbl 1068.57018
Hambleton, Ian; Kreck, Matthias
4
2004
On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040
Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias
4
2002
Smooth structures on algebraic surfaces with finite fundamental group. Zbl 0717.14018
Hambleton, Ian; Kreck, Matthias
4
1990
Exotic knottings of surfaces in the 4-sphere. Zbl 0635.57008
Finashin, S. M.; Kreck, M.; Viro, O. Ya.
4
1987
An inverse to the Poincaré conjecture. Zbl 0990.57008
Kreck, Matthias
3
2001
Classification and stable classification of manifolds: some examples. Zbl 0551.57018
Kreck, M.; Schafer, J. A.
3
1984
Cobordism of odd-dimensional diffeomorphisms. Zbl 0335.57021
Kreck, M.
3
1976
Eine Variante für stabil parallelisierte Mannigfaltigkeiten. Zbl 0303.57010
Kreck, Matthias
3
1972
Homology and cohomology theories on manifolds. Zbl 1226.57035
Kreck, Matthias; Singhof, Wilhelm
2
2010
Involutions on 3-manifolds and self-dual, binary codes. Zbl 1160.57013
Kreck, Matthias; Puppe, Volker
2
2008
Free abelian covers, short loops, stable length, and systolic inequalities. Zbl 1134.53019
Kreck, Matthias; Suciu, Alexander I.
2
2008
\(h\)-cobordisms between 1-connected 4-manifolds. Zbl 1002.57072
Kreck, Matthias
2
2001
On the homeomorphism classification of smooth knotted surfaces in the 4- sphere. Zbl 0837.57024
Kreck, Matthias
2
1990
Manifolds with unique differentiable structure. Zbl 0547.57025
Kreck, M.
2
1984
Hilbert stratifolds and a Quillen type geometric description of cohomology for Hilbert manifolds. Zbl 1384.58007
Kreck, Matthias; Tene, Haggai
1
2018
Corrigendum: Simply connected asymmetric manifolds. Zbl 1213.57035
Kreck, Matthias
1
2011
On the concept of genus in topology and complex analysis. Zbl 1171.57300
Hirzebruch, Friedrich E. P.; Kreck, Matthias
1
2009
Positivity of topological field theories in dimension at least 5. Zbl 1151.57035
Kreck, Matthias; Teichner, Peter
1
2008
A guide to the classification of manifolds. Zbl 0947.57001
Kreck, Matthias
1
2000
Cancellation results for 2-complexes and 4-manifolds and some applications. Zbl 0811.57007
Hambleton, Ian; Kreck, Matthias
1
1993
Positive curvature and topology of differentiable manifolds. Zbl 0757.53001
Kreck, M.
1
1992
Rohlin invariants, integrality of some spectral invariants and bordism of spin diffeomorphisms. Zbl 0717.57019
Fischer, Thomas; Kreck, Matthias
1
1990
Cutting and pasting of involutions and fiberings over the circle within a bordism class. Zbl 0285.57022
Hermann, J.; Kreck, M.
1
1975
Hilbert stratifolds and a Quillen type geometric description of cohomology for Hilbert manifolds. Zbl 1384.58007
Kreck, Matthias; Tene, Haggai
1
2018
Differential forms and 0-dimensional supersymmetric field theories. Zbl 1236.19008
Hohnhold, Henning; Kreck, Matthias; Stolz, Stephan; Teichner, Peter
5
2011
Corrigendum: Simply connected asymmetric manifolds. Zbl 1213.57035
Kreck, Matthias
1
2011
Differential algebraic topology. From stratifolds to exotic spheres. Zbl 1420.57002
Kreck, Matthias
10
2010
A geometric description of differential cohomology. Zbl 1200.55007
Bunke, Ulrich; Kreck, Matthias; Schick, Thomas
8
2010
Homology and cohomology theories on manifolds. Zbl 1226.57035
Kreck, Matthias; Singhof, Wilhelm
2
2010
Topological rigidity for non-aspherical manifolds. Zbl 1196.57018
Kreck, M.; Lück, W.
9
2009
Topological 4-manifolds with geometrically two-dimensional fundamental groups. Zbl 1179.57034
Hambleton, Ian; Kreck, Matthias; Teichner, Peter
7
2009
Simply connected asymmetric manifolds. Zbl 1171.57034
Kreck, Matthias
5
2009
On the concept of genus in topology and complex analysis. Zbl 1171.57300
Hirzebruch, Friedrich E. P.; Kreck, Matthias
1
2009
Involutions on 3-manifolds and self-dual, binary codes. Zbl 1160.57013
Kreck, Matthias; Puppe, Volker
2
2008
Free abelian covers, short loops, stable length, and systolic inequalities. Zbl 1134.53019
Kreck, Matthias; Suciu, Alexander I.
2
2008
Positivity of topological field theories in dimension at least 5. Zbl 1151.57035
Kreck, Matthias; Teichner, Peter
1
2008
The Novikov conjecture. Geometry and algebra. Zbl 1058.19001
Kreck, Matthias; Lück, Wolfgang
11
2005
A quick proof of the rational Hurewitz theorem and a computation of the rational homotopy groups of spheres. Zbl 1072.55010
Klaus, Stephan; Kreck, Matthias
7
2004
Homotopy self-equivalences of 4-manifolds. Zbl 1068.57018
Hambleton, Ian; Kreck, Matthias
4
2004
On the cut-and-paste property of higher signatures of a closed oriented manifold. Zbl 0997.57040
Leichtnam, Eric; Lück, Wolfgang; Kreck, Matthias
4
2002
An inverse to the Poincaré conjecture. Zbl 0990.57008
Kreck, Matthias
3
2001
\(h\)-cobordisms between 1-connected 4-manifolds. Zbl 1002.57072
Kreck, Matthias
2
2001
A guide to the classification of manifolds. Zbl 0947.57001
Kreck, Matthias
1
2000
Surgery and duality. Zbl 0935.57039
Kreck, Matthias
53
1999
Stable prime decompositions of four-manifolds. Zbl 0928.57019
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
7
1995
Counterexamples to the Kneser conjecture in dimension four. Zbl 0837.57016
Kreck, Matthias; Lück, Wolfgang; Teichner, Peter
5
1995
Nonorientable 4-manifolds with fundamental group of order 2. Zbl 0830.57012
Hambleton, Ian; Kreck, Matthias; Teichner, Peter
14
1994
Nonconnected moduli spaces of positive sectional curvature metrics. Zbl 0793.53041
Kreck, Matthias; Stolz, Stephan
21
1993
Cancellation, elliptic surfaces and the topology of certain four- manifolds. Zbl 0779.57015
Hambleton, Ian; Kreck, Matthias
15
1993
\(\mathbf H\mathbf P^ 2\)-bundles and elliptic homology. Zbl 0851.55007
Kreck, Matthias; Stolz, Stephan
13
1993
Cancellation of hyperbolic forms and topological four-manifolds. Zbl 0779.57014
Hambleton, Ian; Kreck, Matthias
9
1993
Cancellation of lattices and finite two-complexes. Zbl 0779.57002
Hambleton, Ian; Kreck, Matthias
5
1993
Cancellation results for 2-complexes and 4-manifolds and some applications. Zbl 0811.57007
Hambleton, Ian; Kreck, Matthias
1
1993
Positive curvature and topology of differentiable manifolds. Zbl 0757.53001
Kreck, M.
1
1992
Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature. Zbl 0733.53025
Kreck, Matthias; Stolz, Stephan
27
1991
Smooth structures on algebraic surfaces with finite fundamental group. Zbl 0717.14018
Hambleton, Ian; Kreck, Matthias
4
1990
On the homeomorphism classification of smooth knotted surfaces in the 4- sphere. Zbl 0837.57024
Kreck, Matthias
2
1990
Rohlin invariants, integrality of some spectral invariants and bordism of spin diffeomorphisms. Zbl 0717.57019
Fischer, Thomas; Kreck, Matthias
1
1990
On the classification of topological 4-manifolds with finite fundamental group. Zbl 0616.57009
Hambleton, Ian; Kreck, Matthias
34
1988
A diffeomorphism classification of 7-dimensional homogeneous Einstein manifolds with \(SU(3)\times SU(2)\times U(1)\)-symmetry. Zbl 0649.53029
Kreck, Matthias; Stolz, Stephan
30
1988
Smooth structures on algebraic surfaces with cyclic fundamental group. Zbl 0609.57008
Hambleton, Ian; Kreck, Matthias
11
1988
Non-diffeomorphic but homeomorphic knottings of surfaces in the 4-sphere. Zbl 0659.57009
Finashin, S. M.; Kreck, M.; Viro, O. Y.
7
1988
Exotic knottings of surfaces in the 4-sphere. Zbl 0635.57008
Finashin, S. M.; Kreck, M.; Viro, O. Ya.
4
1987
Bordism of diffeomorphisms and related topics. With an appendix by Neal W. Stoltzfus. Zbl 0542.57001
Kreck, Matthias
7
1984
Classification and stable classification of manifolds: some examples. Zbl 0551.57018
Kreck, M.; Schafer, J. A.
3
1984
Manifolds with unique differentiable structure. Zbl 0547.57025
Kreck, M.
2
1984
Isotopy classes of diffeomorphisms of (k-1)-connected almost- parallelizable 2k-manifolds. Zbl 0421.57009
Kreck, M.
6
1979
Bordism of diffeomorphisms. Zbl 0329.57014
Kreck, M.
7
1976
Cobordism of odd-dimensional diffeomorphisms. Zbl 0335.57021
Kreck, M.
3
1976
Cutting and pasting of involutions and fiberings over the circle within a bordism class. Zbl 0285.57022
Hermann, J.; Kreck, M.
1
1975
Cutting and pasting of manifolds; SK-groups. Zbl 0258.57010
Karras, Ulrich; Kreck, M.; Neumann, W. D.; Ossa, E.
14
1973
Eine Variante für stabil parallelisierte Mannigfaltigkeiten. Zbl 0303.57010
Kreck, Matthias
3
1972
all top 5

Cited by 277 Authors

18 Kreck, Matthias
13 Hambleton, Ian
10 Crowley, Diarmuid John
7 Hillman, Jonathan Arthur
6 Botvinnik, Boris I.
6 Torres, Rafael
5 Bunke, Ulrich
5 Escher, Christine M.
5 Hegenbarth, Friedrich
5 Khan, Qayum
5 Sati, Hisham
5 Spaggiari, Fulvia
4 Cavicchioli, Alberto
4 Olbermann, Martin
4 Stolz, Stephan A.
4 Wang, Jianbo
3 Baykur, Refik İnanç
3 Dessai, Anand Naique
3 Fang, Fuquan
3 Hara, Tamio
3 Kim, Hee Jung
3 Nikonorov, Yurii Gennadyevich
3 Pamuk, Mehmetcik
3 Randal-Williams, Oscar
3 Repovš, Dušan D.
3 Ruberman, Daniel
3 Schick, Thomas
3 Skopenkov, Arkadiĭ Borisovich
3 Su, Yang
3 Tuschmann, Wilderich
3 Wraith, David J.
3 Wurzbacher, Tilmann
3 Ziller, Wolfgang
2 Alldridge, Alexander
2 Assadi, Amir H.
2 Astey, Luis
2 Bechtluft-Sachs, Stefan
2 Belegradek, Igor
2 Bonahon, Francis
2 Bowden, Jonathan Peter
2 Boyer, Charles P.
2 Chen, Binglong
2 Chen, Bo
2 Davis, Simon Brian
2 DeVito, Jason
2 Finashin, Sergey Mikhailovich
2 Freedman, Michael Hartley
2 Galatius, Søren
2 Gilkey, Peter B.
2 Goette, Sebastian
2 Grady, Daniel
2 Hausmann, Jean-Claude
2 Heithecker, Jörg
2 Hilgert, Joachim
2 Huang, Xian-Tao
2 Ishida, Masashi
2 Katz, Mikhail G.
2 Knapp, Karlheinz
2 Komiya, Katsuhiro
2 Kotschick, Dieter
2 Lee, Ronnie
2 Leichtnam, Eric
2 Lü, Zhi
2 Lück, Wolfgang
2 McTague, Carl S.
2 Micha, Evi
2 Nakamura, Nobuhiro
2 O’Shea, Seamus
2 Piazza, Paolo
2 Rosenberg, Jonathan Micah
2 Sixt, Jörg
2 Stipsicz, András I.
2 Stoffel, Augusto
2 Stong, Robert E.
2 Teichner, Peter
2 Tene, Haggai
2 Wahl, Charlotte
2 Walsh, Mark G.
2 Waner, Stefan
2 Wang, Alexandre Qiuping
2 Wang, Yuyu
2 Wilczyński, Dariusz M.
2 Wu, Yihren
2 Zhang, Weiping
2 Zheng, Hailun
1 Akhmedov, Anar
1 Apanasov, Boris Nikolaevich
1 Askitas, Nikolaos A.
1 Auckly, David R.
1 Avramidi, Grigori
1 Azzali, Sara
1 Ball, Gavin
1 Banagl, Markus
1 Bangert, Victor
1 Bär, Christian
1 Barmak, Jonathan Ariel
1 Bartels, Arthur C.
1 Baues, Hans-Joachim
1 Baum, Paul Frank
1 Bazaĭkin, Yaroslav Vladimirovich
...and 177 more Authors
all top 5

Cited in 88 Serials

25 Topology and its Applications
21 Mathematische Annalen
18 Algebraic & Geometric Topology
14 Transactions of the American Mathematical Society
12 Geometry & Topology
9 Inventiones Mathematicae
9 Mathematische Zeitschrift
8 Advances in Mathematics
8 Annals of Global Analysis and Geometry
7 Geometriae Dedicata
6 Proceedings of the American Mathematical Society
6 Differential Geometry and its Applications
5 Communications in Mathematical Physics
5 Bulletin of the American Mathematical Society. New Series
4 Glasgow Mathematical Journal
4 Journal of Pure and Applied Algebra
4 Journal of the American Mathematical Society
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Annales de l’Institut Fourier
3 Duke Mathematical Journal
3 Journal of Functional Analysis
3 Journal of the London Mathematical Society. Second Series
3 Manuscripta Mathematica
3 Tokyo Journal of Mathematics
3 Geometric and Functional Analysis. GAFA
3 Journal of Knot Theory and its Ramifications
3 Journal of Topology and Analysis
3 Journal of \(K\)-Theory
2 Bulletin of the Australian Mathematical Society
2 Israel Journal of Mathematics
2 Letters in Mathematical Physics
2 Journal of Geometry and Physics
2 Compositio Mathematica
2 Kodai Mathematical Journal
2 Tohoku Mathematical Journal. Second Series
2 Forum Mathematicum
2 International Journal of Mathematics
2 The Journal of Geometric Analysis
2 Journal of Mathematical Sciences (New York)
2 Transformation Groups
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Mediterranean Journal of Mathematics
2 Frontiers of Mathematics in China
2 Journal of Topology
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Functional Analysis and its Applications
1 Publications Mathématiques
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Siberian Mathematical Journal
1 European Journal of Combinatorics
1 Chinese Annals of Mathematics. Series B
1 \(K\)-Theory
1 Elemente der Mathematik
1 L’Enseignement Mathématique. 2e Série
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Russian Journal of Mathematical Physics
1 Annales Mathématiques Blaise Pascal
1 The New York Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 Séminaire Lotharingien de Combinatoire
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Communications of the Korean Mathematical Society
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Applied Sciences
1 Annales Henri Poincaré
1 Advances in Geometry
1 Journal of the Institute of Mathematics of Jussieu
1 International Journal of Geometric Methods in Modern Physics
1 Bulletin of the American Mathematical Society
1 Journal of Singularities
1 Forum of Mathematics, Sigma

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