Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Gabai, David"'
Perron and Quinn gave independent proofs in 1986 that every topological pseudo-isotopy of a simply-connected, compact topological 4-manifold is isotopic to the identity. Another result of Quinn is that every smooth pseudo-isotopy of a simply-connecte
Externí odkaz:
http://arxiv.org/abs/2311.11196
Using a 5-dimensional perspective, we balance algebraic and geometric handle cancellation to show that doubles of Gluck twists of certain 2-spheres with two minima are standard. This includes all 2-spheres which are unions of ribbon discs, one of whi
Externí odkaz:
http://arxiv.org/abs/2307.06388
Autor:
Budney, Ryan, Gabai, David
Let Diff(N) and Homeo(N) denote the smooth and topological group of automorphisms respectively that fix the boundary of the n-manifold N, pointwise. We show that the (n-4)-th homotopy group of Homeo(S^1 \times D^{n-1}) is not finitely-generated for n
Externí odkaz:
http://arxiv.org/abs/2303.05010
Autor:
Gabai, David
We offer an approach to the smooth 4-dimensional Schoenflies conjecture via pseudo-isotopy theory.
Externí odkaz:
http://arxiv.org/abs/2212.02004
We classify the complete hyperbolic 3-manifolds admitting a maximal cusp of volume at most 2.62. We use this to show that the figure-8 knot complement is the unique 1-cusped hyperbolic 3-manifold with nine or more non-hyperbolic fillings; to show tha
Externí odkaz:
http://arxiv.org/abs/2109.14570
Autor:
Gabai, David, Yazdi, Mehdi
In his seminal 1976 paper Bill Thurston observed that a closed leaf S of a foliation has Euler characteristic equal, up to sign, to the Euler class of the foliation evaluated on [S], the homology class represented by S. The main result of this paper
Externí odkaz:
http://arxiv.org/abs/2008.07223
Autor:
Gabai, David
We show how self-referential discs in 4-manifolds lead to the construction of pairs of discs with a common geometrically dual sphere which are homotopic rel $\partial$, concordant and coincide near their boundaries, yet are not properly isotopic. Thi
Externí odkaz:
http://arxiv.org/abs/2006.15450
We survey some recent geometric methods for studying Heegaard splittings of 3-manifolds
Externí odkaz:
http://arxiv.org/abs/2002.00445
Autor:
Budney, Ryan, Gabai, David
The unknot U in S^4 has non-unique smooth spanning 3-balls up to isotopy fixing U. Equivalently there are properly embedded non-separating 3-balls in S^1xB^3 not properly isotopic to 1xB^3. More generally there exist non-separating 3-spheres in S^1xS
Externí odkaz:
http://arxiv.org/abs/1912.09029
In the course of our work on low-volume hyperbolic 3-manifolds, we came upon a linking problem for horoball necklaces in $\mathbb{H}^3$. A horoball necklace is a collection of sequentially tangent beards (i.e. spheres) with disjoint interiors lying o
Externí odkaz:
http://arxiv.org/abs/1805.02119