Zobrazeno 1 - 10
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pro vyhledávání: '"Robion, P"'
A correspondence, by way of Heegaard splittings, between closed oriented 3-manifolds and pairs of surjections from a surface group to a free group has been studied by Stallings, Jaco, and Hempel. This correspondence, by way of trisections, was recent
Externí odkaz:
http://arxiv.org/abs/2301.05685
Autor:
Regnet, J.-B., Bailly, C., Bourquin, S., Robion, P., Poujol, M., Sengelen, X., Serrano, O., Ledésert, B.
Publikováno v:
In Sedimentary Geology August 2024 470
Autor:
Kirby, Robion, Thompson, Abigail
We examine questions about surgery on links which arise naturally from the trisection decomposition of 4-manifolds developed by Gay and Kirby. These links lie on Heegaard surfaces in $\#^j S^1 \times S^2$ and have surgeries yielding $\#^k S^1 \times
Externí odkaz:
http://arxiv.org/abs/1910.00086
Akademický článek
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Akademický článek
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Publikováno v:
Geom. Topol. 22 (2018) 1537-1545
A trisection of a smooth, closed, oriented 4-manifold is a decomposition into three 4-dimensional 1-handlebodies meeting pairwise in 3-dimensional 1-handlebodies, with triple intersection a closed surface. The fundamental groups of the surface, the 3
Externí odkaz:
http://arxiv.org/abs/1605.06731
Autor:
Gay, David T., Kirby, Robion
Publikováno v:
Geom. Topol. 20 (2016) 3097-3132
We show that any smooth, closed, oriented, connected 4--manifold can be trisected into three copies of $\natural^k (S^1 \times B^3)$, intersecting pairwise in 3--dimensional handlebodies, with triple intersection a closed 2--dimensional surface. Such
Externí odkaz:
http://arxiv.org/abs/1205.1565
Publikováno v:
GTM 18 (2012) 161-190
Elementary geometric arguments are used to compute the group of homotopy classes of maps from a 4-manifold X to the 3-sphere, and to enumerate the homotopy classes of maps from X to the 2-sphere. The former completes a project initiated by Steenrod i
Externí odkaz:
http://arxiv.org/abs/1203.1608
Autor:
Gay, David T., Kirby, Robion
Publikováno v:
GTM 18 (2012) 103-114
Given a Morse 2-function $f: X^4 \to S^2$, we give minimal conditions on the fold curves and fibers so that $X^4$ and $f$ can be reconstructed from a certain combinatorial diagram attached to $S^2$. Additional remarks are made in other dimensions.
Externí odkaz:
http://arxiv.org/abs/1202.3487
Autor:
Gay, David T., Kirby, Robion
We discuss generic smooth maps from smooth manifolds to smooth surfaces, which we call "Morse 2-functions", and homotopies between such maps. The two central issues are to keep the fibers connected, in which case the Morse 2-function is "fiber-connec
Externí odkaz:
http://arxiv.org/abs/1102.2169