Zobrazeno 1 - 10
of 6 961
pro vyhledávání: '"four-manifolds"'
Autor:
Er, Arif, Tan, Meng-Chwan
This work is a continuation of the program initiated in [arXiv:2311.18302]. We show how one can define novel gauge-theoretic (holomorphic) Floer homologies of seven, six, and five-manifolds, from the physics of a topologically-twisted 8d $\mathcal{N}
Externí odkaz:
http://arxiv.org/abs/2410.18575
Autor:
Feehan, Paul M. N., Leness, Thomas G.
This work is a sequel to our previous monograph arXiv:2010.15789 (to appear in AMS Memoirs), where we initiated our program to prove that the Bogomolov-Miyaoka-Yau inequality holds for closed, symplectic four-manifolds and, more generally, for closed
Externí odkaz:
http://arxiv.org/abs/2410.13809
Autor:
Kumar, Aditya, Sen, Balarka
We construct infinitely many examples of four manifolds with macroscopic dimension 4 equipped with circle bundles whose total spaces admit metrics of positive scalar curvature. Further, we verify that these bundles have macroscopic dimension at most
Externí odkaz:
http://arxiv.org/abs/2412.01047
Autor:
Hambleton, Ian, Nicholson, John
Kreck and Schafer produced the first examples of stably diffeomorphic closed smooth 4-manifolds which are not homotopy equivalent. They were constructed by applying the doubling construction to 2-complexes over certain finite abelian groups of odd or
Externí odkaz:
http://arxiv.org/abs/2412.15089
Autor:
Bleher, Michael
This article reviews Witten's gauge-theoretic approach to Khovanov homology from the perspective of Haydys-Witten instanton Floer theory. Expanding on Witten's arguments, we introduce a one-parameter family of instanton Floer homology groups $HF_{\th
Externí odkaz:
http://arxiv.org/abs/2412.13285
Autor:
Erokhovets, Nikolai
We consider (non-necessarily free) actions of subgroups $H\subset \mathbb Z_2^m$ on the real moment-angle manifold $\mathbb R\mathcal{Z}_P$ over a simple $n$-polytope $P$. The orbit space $N(P,H)=\mathbb R\mathcal{Z}_P/H$ has an action of $\mathbb Z_
Externí odkaz:
http://arxiv.org/abs/2407.20575