Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Ruberman, Daniel"'
Autor:
Hughes, Sam, Ruberman, Daniel
For each integer $n$ we construct a simply connected $4$-manifold $X$ admitting a smoothly embedded surface $\Sigma$ of self intersection number $n$ such that the complement of the surface has non-trivial fundamental group. This answers a question of
Externí odkaz:
http://arxiv.org/abs/2402.01921
We give examples of spin $4$-manifolds with boundary that do not admit metrics of positive scalar curvature and nonnegative mean curvature. These manifolds in fact have the stronger property that the conformal Laplacian with appropriate boundary cond
Externí odkaz:
http://arxiv.org/abs/2302.05521
Autor:
Ruberman, Daniel, Strle, Sašo
Let $X$ be a smooth simply connected closed 4-manifold with definite intersection form. We show that any automorphism of the intersection form of $X$ is realized by a diffeomorphism of $X \mathbin{\#} S^2 \times S^2$. This extends and completes Wall'
Externí odkaz:
http://arxiv.org/abs/2210.16260
What is the simplest smooth simply connected 4-manifold embedded in $CP^3$ homologous to a degree $d$ hypersurface $V_d$? A version of this question associated with Thom asks if $V_d$ has the smallest $b_2$ among all such manifolds. While this is tru
Externí odkaz:
http://arxiv.org/abs/2109.05089
Autor:
Ruberman, Daniel, Saveliev, Nikolai
Publikováno v:
Open Book Series 5 (2022) 285-297
The Inoue surfaces are certain non-Kaehler complex surfaces that have the structure of a $T^3$ bundle over the circle. We study the Inoue surfaces $S_M$ with the Tricerri metric and the canonical spin$^c$ structure, and the corresponding chiral Dirac
Externí odkaz:
http://arxiv.org/abs/2012.05372
Autor:
Ruberman, Daniel
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 2395-2418
Echeverria recently introduced an invariant for a smoothly embedded torus in a homology $S^1\times S^3$, using gauge theory for singular connections. We define a new topological invariant of such an embedded torus, analogous to the classical Levine-T
Externí odkaz:
http://arxiv.org/abs/2010.02355
Publikováno v:
Geom. Topol. 25 (2021) 3591-3628
Let $K$ be a knot in an integral homology 3-sphere $Y$, and $\Sigma$ the corresponding $n$-fold cyclic branched cover. Assuming that $\Sigma$ is a rational homology sphere (which is always the case when $n$ is a prime power), we give a formula for th
Externí odkaz:
http://arxiv.org/abs/2004.05497
Autor:
Kim, Hee Jung, Ruberman, Daniel
Publikováno v:
Algebr. Geom. Topol. 20 (2020) 3589-3606
We show that infinitely many of the simply connected 4-manifolds constructed by Levine and Lidman that do not admit PL spines actually admit topological spines.
Comment: Final version; to appear in Algebraic & Geometric Topology. 18 pages, 3 fig
Comment: Final version; to appear in Algebraic & Geometric Topology. 18 pages, 3 fig
Externí odkaz:
http://arxiv.org/abs/1905.03608
We show that the periodic $\eta$-invariants introduced by Mrowka--Ruberman--Saveliev~\cite{MRS3} provide obstructions to the existence of cobordisms with positive scalar curvature metrics between manifolds of dimensions $4$ and $6$. The proof combine
Externí odkaz:
http://arxiv.org/abs/1902.00443
Publikováno v:
In Topology and its Applications 15 June 2023 333
