Index theory and noncommutative geometry of topological insulator [PDF]
In this chapter, we report the recent progress in the understanding of the rich mathematical structures of topological insulators in the framework of index theory and noncommutative geometry.
arxiv
Topological Homotopy Groups [PDF]
D. K. Biss (Topology and its Applications 124 (2002) 355-371) introduced the topological fundamental group and presented some interesting basic properties of the notion. In this article we intend to extend the above notion to homotopy groups and try to prove some similar basic properties of the topological homotopy groups.
arxiv
Negative dimension in general and asymptotic topology [PDF]
We introduce the notion of negative topological dimension and the notion of weight for the asymptotic topological dimension. Quantizing of spaces of negative dimension is applied to linguistic statistics.
arxiv
Nonperturbative refined topological string [PDF]
A formula for the full nonperturbative topological string free energy was recently proposed by Hattab and Palti \cite{HP24a}. In this work, we extend their result to the refined topological string theory. We demonstrate that the proposed formula for the full nonperturbative refined topological string free energy correctly reproduces the trans-series ...
arxiv
A new view of spaces and their properties in the sense of non-Newtonian measure. [PDF]
Darweesh A+3 more
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Mathematical study of silicate and oxide networks through Revan topological descriptors for exploring molecular complexity and connectivity. [PDF]
Zhang Q+5 more
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A cohomology-based Gromov-Hausdorff metric approach for quantifying molecular similarity. [PDF]
Wee J, Gong X, Tuschmann W, Xia K.
europepmc +1 more source
Children's Understanding of Topological Relations. [PDF]
Yousif SR, Goldstein LB, Brannon EM.
europepmc +1 more source
NRO-stylization: A novel algorithm for regular octahedral stylization aesthetic modeling of three-dimensional surface mesh. [PDF]
Dong F, Tang Y, Zhang J, Qian K.
europepmc +1 more source
Observation of Berry curvature in non-Hermitian system from far-field radiation. [PDF]
Yin X+5 more
europepmc +1 more source