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Associated to a closed, oriented surface S is the complex vector space with basis the set of all compact, oriented 3-manifolds which it bounds.
Three-dimensional manifolds and their Heegaard diagrams
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William H. Jaco and Peter B. Shalen · 1979
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William P. Thurston · 1979
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Mikhael Gromov · 1981
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The equivariant Dehn’s lemma and loop theorem
William H. Meeks, III and Shing Tung Yau · 1981
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Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
William Meeks, III, Leon Simon, and Shing Tung Yau · 1982
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Deforming metrics in the direction of their Ricci tensors
Dennis M. DeTurck · 1983
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Least area incompressible surfaces in 3 3 -manifolds
Michael Freedman, Joel Hass, and Peter Scott · 1983
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Estimates for stable minimal surfaces in three-dimensional manifolds
Richard Schoen · 1983
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The geometries of 3 3 -manifolds
Peter Scott · 1983
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The characteristic toric splitting of irreducible compact 3 3 -orbifolds
F. Bonahon and L. C. Siebenmann · 1987
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Reducing Heegaard splittings
A. J. Casson and C. McA. Gordon · 1987
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Residual finiteness for 3 3 -manifolds
John Hempel · 1987
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The existence of least area surfaces in 3 3 -manifolds
Joel Hass and Peter Scott · 1988
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The geometry and physics of knots
Michael Atiyah · 1990
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Topological gauge theories and group cohomology
Robbert Dijkgraaf and Edward Witten · 1990
Minimal surfaces
Tobias H. Colding and William P. Minicozzi, II · 1999
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Non-singular solutions of the Ricci flow on three-manifolds
Richard S. Hamilton · 1999
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Notes on Basic 3 3 -Manifold Topology
Allen Hatcher · 2000
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Proof of the Riemannian Penrose inequality using the positive mass theorem
Hubert L. Bray · 2001
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Irreducibility of some quantum representations of mapping class groups
Justin Roberts · 2001
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Positive mass theorem on manifolds admitting corners along a hypersurface
Pengzi Miao · 2002
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Invariants of 3 3 -manifolds via link polynomials and quantum groups
N. Reshetikhin and V. G. Turaev · 1991
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Chern-Simons theory with finite gauge group
Daniel S. Freed and Frank Quinn · 1993
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Higher algebraic structures and quantization
Daniel S. Freed · 1994
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Discrete groups, expanding graphs and invariant measures
Alexander Lubotzky · 1994
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Topological quantum field theories derived from the Kauffman bracket
C. Blanchet, N. Habegger, G. Masbaum, and P. Vogel · 1995
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The entropy formula for the Ricci flow and its geometric applications, 2002
Grisha Perelman · 2002
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Miles Simon · 2002
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Ricci flow with surgery on three-manifolds, 2003
Grisha Perelman · 2003
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The Ricci flow: an introduction
Bennett Chow and Dan Knopf · 2004
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Michael H. Freedman, Alexei Kitaev, Chetan Nayak, Johannes K. Slingerland, Kevin Walker, and Zhenghan Wang · 2005
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Heegaard splittings, the virtually Haken conjecture and property ( τ ) (\tau)
Marc Lackenby · 2006
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Heegaard genus formula for Haken manifolds
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Lower bounds on volumes of hyperbolic Haken 3-manifolds
Ian Agol, Peter A. Storm, and William P. Thurston · 2007
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Positivity of topological field theories in dimension at least 5
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