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![[2606.02616] Mathematics of Spacetime: A Guided Tour Through The Underlying Differential Topology and Differential Geometry](/static/img/curated/desks/afbytes-tech.png)
Abstract page for arXiv paper 2606.02616: Mathematics of Spacetime: A Guided Tour Through The Underlying Differential Topology and Differential Geometry
Abstract page for arXiv paper 2606.02841: Learning Coherent Representations: A Topological Approach to Interpretability
Abstract page for arXiv paper 2606.03072: Loop Space Splittings for Codimensional Sphere Bundles
Abstract page for arXiv paper 2606.03573: A Complete Classification of 2-Linear Neighborhood Complexes
Abstract page for arXiv paper 2606.02478: Regular clock map and trace space
Abstract page for arXiv paper 2606.02513: Neighborly Murai spheres and the Simplicial Steinitz Problem
Abstract page for arXiv paper 2606.02558: Conjugacy Problem for Dehn Twists of Free Products of Free Abelian Groups
Abstract page for arXiv paper 2606.02392: Topology as Logic: Structural Role Geometry Across Formal, Software, Biological, and Prebiotic Systems
Abstract page for arXiv paper 2605.30817: Boundedness of Dehn surgery slopes admitting hyperbolic $\mathrm{PSL}(2,\mathbb{R})$-representations for two-bridge kn...
Abstract page for arXiv paper 2509.16056: Mayer--Vietoris sequences for complexes of tori
Abstract page for arXiv paper 2510.05754: Cut-and-choose games in topological spaces
Abstract page for arXiv paper 2605.31182: High-energy topological edge states and strain-induced multiple flat bands in a honeycomb lattice
In this definition, what is ##x## in the property (ii)? Did they mean, "(ii) For any open ##V \subset X## and any ##x \in V##, there exists some ##U \in...
In this definition, what is ##x## in the property (ii)? Did they mean, "(ii) For any open ##V \subset X## and any ##x \in V##, there exists some ##U \in...
How many distinct knots have exactly 10 crossings? By the late 20th century, mathematicians believed the number to be 166. Then, in 1973, New York attorney and ...
Abstract page for arXiv paper 2302.14032: $L^{2}$-Hodge theory on Complete Almost Kähler Manifolds and the Hopf Conjecture
Abstract page for arXiv paper 2509.03396: On Steenrod squares for even and odd Khovanov homology
Abstract page for arXiv paper 2509.21001: Recognisability for generalised hierarchical pattern spaces of finite local complexity
Abstract page for arXiv paper 2605.30191: On $L^p$-spaces of functions with values in locally convex spaces
Abstract page for arXiv paper 2605.29173: Modular non-Hermitian topology and its application to critical sensing
Abstract page for arXiv paper 2605.27669: Stacky geometry and logarithmic topology of transversely affine foliations
Abstract page for arXiv paper 2605.27688: Satellite Links with Multiple Full Twists and Single-Twist Companions
Abstract page for arXiv paper 2605.27872: Octahedral decomposition of alternating links in thickened surfaces
Abstract page for arXiv paper 2605.28496: Intrinsic linking of simplicial $n$-complexes in $\mathbb{R}^{2n}$: An additional minimal $n$-complex
Abstract page for arXiv paper 2605.28595: Twisted homology jump loci, twisted Alexander polynomials, and $Σ$-invariants
Abstract page for arXiv paper 2605.28620: Smooth atlas stratified spaces, K-Homology Orientations, and Gysin maps. Part 2
Abstract page for arXiv paper 2605.28622: Topological singular set of manifold-valued maps weakly approximable by smooth maps
Abstract page for arXiv paper 2605.28650: String nets for twisted pivotal categories
Abstract page for arXiv paper 2510.18255: An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces
Abstract page for arXiv paper 2605.28425: Symmetry-Selective Topological Magnon Engineering by Phonon Angular Momentum