Results 31 to 40 of about 235,705 (108)
Surface Operators and Knot Homologies
, 2007 Topological gauge theories in four dimensions which admit surface operators provide a natural framework for realizing homological knot invariants. Every such theory leads to an action of the braid group on branes on the corresponding moduli space.
Atiyah +42 more
core +2 more sources
Heegaard splittings of compact 3-manifolds [PDF]
arXiv, 2000 An expository survey article on Heegaard ...
arxiv
On the tunnel number and the Morse-Novikov number of knots
, 2008 We prove that the Morse-Novikov number of a link L in a 3-sphere is less than or equal to twice the tunnel number of L.Comment: 8 pages, revised and ...
Andrei Pajitnov +9 more
core +1 more source
Topology-optimized metasurfaces: impact of initial geometric layout.
Optics Letters, 2017 Topology optimization is a powerful iterative inverse design technique in metasurface engineering and can transform an initial layout into a high-performance device.
Jianji Yang, Jonathan A. Fan
semanticscholar +1 more source
On homotopical and homological $Z_n$-sets [PDF]
Topology Proc. 38 (2011) 29-82, 2010 We survey some properties of homotopical and homological $Z_n$-sets in topological spaces.
arxiv
All the shapes of spaces: a census of small 3-manifolds [PDF]
, 2013 In this work we present a complete (no misses, no duplicates) census for closed, connected, orientable and prime 3-manifolds induced by plane graphs with a bipartition of its edge set (blinks) up to $k=9$ edges.
Lins, Lauro D., Lins, Sóstenes L.
core
Any 3-manifold 1-dominates at most finitely many geometric 3-manifolds [PDF]
arXiv, 2000 In this paper, we proved that any closed orientable 3-manifold 1-dominates at most finitely many geometric 3-manifolds.
arxiv
Symmetries of geometric flows [PDF]
arXiv, 2010 By applying the theory of group-invariant solutions we investigate the symmetries of Ricci flow and hyperbolic geometric flow both on Riemann surfaces. The warped products on $\mathcal {S}^{n+1}$ of both flows are also studied.
arxiv
The Impact of the Geometric Correction Scheme on MEG Functional Topology at Rest
Frontiers in Neuroscience, 2019 Spontaneous activity is correlated across brain regions in large scale networks (RSN) closely resembling those recruited during several behavioral tasks and characterized by functional specialization and dynamic integration.
S. Della Penna +3 more
semanticscholar +1 more source
Geom. Topol. Monogr. 4 (2002) 295-302, 2002 We give a brief survey of abelian torsions of 3-manifolds.
arxiv