A Loop Theorem for Duality Spaces and Fibred Ribbon Knots.
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C.McA. Gordon, A.J. Casson (1983)
Inventiones mathematicae
John W. Morgan (1980/1981)
Séminaire Bourbaki
T.L. Thickstun (1984)
Inventiones mathematicae
Neumann, Walter D., Swarup, Gadde A. (1997)
Geometry & Topology
Richard H. Bamler (2012)
Journal of the European Mathematical Society
In this paper, we present a new approach to the construction of Einstein metrics by a generalization of Thurston's Dehn filling. In particular in dimension 3, we will obtain an analytic proof of Thurston's result.
Kaiser, Uwe (2003)
Algebraic & Geometric Topology
Yukio Matsumoto, Gerard A. Venema (1979)
Inventiones mathematicae
C. McA. Gordon, José María Montesinos (1986)
Mathematische Annalen
Uwe Kaiser (2009)
Banach Center Publications
For each (commutative) Frobenius algebra there is defined a skein module of surfaces embedded in a given 3-manifold and bounding a prescribed curve system in the boundary. The skein relations are local and generate the kernel of a certain natural extension of the corresponding topological quantum field theory. In particular the skein module of the 3-ball is isomorphic to the ground ring of the Frobenius algebra. We prove a presentation theorem for the skein module with generators incompressible...
Uwe Kaiser (2004)
Fundamenta Mathematicae
We compute link bordism skein modules of colored oriented links in oriented 3-manifolds. A Hurewicz theorem relating link bordism and link homotopy skein modules is proved.
Uwe Kaiser (2014)
Banach Center Publications
Józef Przytycki introduced skein modules of 3-manifolds and skein deformation initiating algebraic topology based on knots. We discuss the generalized skein modules of Walker, defined by fields and local relations. Some results by Przytycki are proven in a more general setting of fields defined by decorated cell-complexes in manifolds. A construction of skein theory from embedded TQFT-functors is given, and the corresponding background is developed. The possible coloring of fields by elements of...
Selman Akbulut (1978)
Inventiones mathematicae
Valentin Poénaru (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Shing-Tung Yau, W.H. Meeks III (1981)
Commentarii mathematici Helvetici
Eugen Ružický (1976)
Mathematica Slovaca
V. Poenaru (1977)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Н.А. Гусевский (1979)
Sibirskij matematiceskij zurnal
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