Results 21 to 30 of about 235,705 (108)
The Volume Conjecture, Perturbative Knot Invariants, and Recursion Relations for Topological Strings
, 2010 We study the relation between perturbative knot invariants and the free energies defined by topological string theory on the character variety of the knot.
Akemann +71 more
core +2 more sources
Calculus of the embedding functor and spaces of knots [PDF]
, 2006 We give an overview of how calculus of the embedding functor can be used for the study of long knots and summarize various results connecting the calculus approach to the rational homotopy type of spaces of long knots, collapse of the Vassiliev spectral ...
Volic, Ismar
core
Topology Optimization of Structures Made of Discrete Geometric Components With Different Materials
Journal of Mechanical Design, 2018 We present a new method for the simultaneous topology optimization and material selection of structures made by the union of discrete geometric components, where each component is made of one of multiple available materials.
Hesaneh Kazemi, A. Vaziri, J. Norato
semanticscholar +1 more source
Geometric Methods In Heegaard Theory [PDF]
arXiv, 2020 We survey some recent geometric methods for studying Heegaard splittings of 3 ...
arxiv
Unoriented topological quantum field theory and link homology
, 2006 We investigate link homology theories for stable equivalence classes of link diagrams on orientable surfaces. We apply (1+1)-dimensional unoriented topological quantum field theories to Bar-Natan's geometric formalism to define new theories for stable ...
Asaeda +9 more
core +2 more sources
Clique topology reveals intrinsic geometric structure in neural correlations [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2015 Significance Detecting structure in neural activity is critical for understanding the function of neural circuits. The coding properties of neurons are typically investigated by correlating their responses to external stimuli.
Chad Giusti +3 more
semanticscholar +1 more source
Topological manifolds are locally-flat Euclidean neighbourhood retracts [PDF]
arXiv, 2022 We show that every topological n-manifold M admits a locally flat closed embedding $\iota\colon M \hookrightarrow \mathbb{R}^{2n+1}$ and is a retract of some neighbourhood $U \subseteq \mathbb{R}^{2n+1}$
arxiv
Equivariant topological slice disks and negative amphichiral knots [PDF]
arXiv, 2022 We show that any strongly negative amphichiral knot with a trivial Alexander polynomial is equivariantly topologically slice.
arxiv
6j-symbols, hyperbolic structures and the Volume Conjecture
, 2007 We compute the asymptotical growth rate of a large family of $U_q(sl_2)$ $6j$-symbols and we interpret our results in geometric terms by relating them to volumes of hyperbolic truncated tetrahedra.
Francesco Costantino +5 more
core +6 more sources