Zobrazeno 1 - 10
of 1 334
pro vyhledávání: '"Powell, Mark A."'
Autor:
Bastl, Stefan, Burke, Rhuaidi, Chatterjee, Rima, Dey, Subhankar, Durst, Alison, Friedl, Stefan, Galvin, Daniel, Rivas, Alejandro García, Hirsch, Tobias, Hobohm, Cara, Hsueh, Chun-Sheng, Kegel, Marc, Kern, Frieda, Lee, Shun Ming Samuel, Löh, Clara, Manikandan, Naageswaran, Mousseau, Léo, Munser, Lars, Pencovitch, Mark, Perras, Patrick, Powell, Mark, Quintanilha, José Pedro, Schambeck, Lisa, Suchodoll, David, Tancer, Martin, Thiele, Annika, Truöl, Paula, Uschold, Matthias, Veselá, Simona, Weiß, Melvin, von Wunsch-Rolshoven, Magdalina
We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In particular, we explain in detail how closed, simply connected, topologi
Externí odkaz:
http://arxiv.org/abs/2411.08775
We characterise the set of fundamental groups for which there exist $n$-manifolds that are $h$-cobordant (hence homotopy equivalent) but not simple homotopy equivalent, when $n$ is sufficiently large. In particular, for $n \ge 12$ even, we show that
Externí odkaz:
http://arxiv.org/abs/2409.03082
We prove a localization theorem for exotic diffeomorphisms, showing that every diffeomorphism of a compact simply-connected 4-manifold that is isotopic to the identity after stabilizing with one copy of $S^2 \times S^2$, is smoothly isotopic to a dif
Externí odkaz:
http://arxiv.org/abs/2407.04696
Autor:
Juhász, András, Powell, Mark
We show that certain smooth tori with group $\mathbb{Z}$ in $S^4$ have exteriors with standard equivariant intersection forms, and so are topologically unknotted. These include the turned 1-twist-spun tori in the 4-sphere constructed by Boyle, the un
Externí odkaz:
http://arxiv.org/abs/2312.06326
Given a closed $n$-manifold, we consider the set of simple homotopy types of $n$-manifolds within its homotopy type, called its simple homotopy manifold set. We characterise it in terms of algebraic $K$-theory, the surgery obstruction map, and the ho
Externí odkaz:
http://arxiv.org/abs/2312.00322
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
Autor:
Daher, Michelle, Powell, Mark
We show that every locally flat topological embedding of a 3-manifold in a smooth 5-manifold is homotopic, by a small homotopy, to a smooth embedding. We deduce that topologically locally flat concordance implies smooth concordance for smooth surface
Externí odkaz:
http://arxiv.org/abs/2309.15962
Given a nonorientable, locally flatly embedded surface in the $4$-sphere of nonorientable genus $h$, Massey showed that the normal Euler number lies in $\lbrace -2h,-2h+4,\ldots,2h-4,2h \rbrace$. We prove that every such surface with knot group of or
Externí odkaz:
http://arxiv.org/abs/2306.12305
Autor:
Juhász, András1 (AUTHOR), Powell, Mark2 (AUTHOR)
Publikováno v:
Transactions of the American Mathematical Society, Series B. 11/6/2024, Vol. 11, p1266-1293. 28p.
Publikováno v:
Pacific J. Math. 325 (2023) 209-237
We show that for every odd prime $q$, there exists an infinite family $\{M_i\}_{i=1}^{\infty}$ of topological 4-manifolds that are all stably homeomorphic to one another, all the manifolds $M_i$ have isometric rank one equivariant intersection pairin
Externí odkaz:
http://arxiv.org/abs/2210.00927