Results 21 to 30 of about 224,966 (246)
Fruit flies and moduli: interactions between biology and mathematics [PDF]
, 2015 Possibilities for using geometry and topology to analyze statistical problems in biology raise a host of novel questions in geometry, probability, algebra, and combinatorics that demonstrate the power of biology to influence the future of pure ...
Ezra Miller
semanticscholar +1 more source
Deficits of the “Good” Eye in Amblyopia: Processing Geometric Properties
Investigative Ophthalmology and Visual SciencePurpose Although fellow eyes of amblyopia are typically considered normal, recent studies have revealed impairments in certain aspects of vision. However, it remains unclear at which level of object processing these impairments occur.
Minjuan Zhu +4 more
semanticscholar +1 more source
Geodesic knots in cusped hyperbolic 3-manifolds
, 2009 We consider the existence of simple closed geodesics or "geodesic knots" in finite volume orientable hyperbolic 3-manifolds. Previous results show that at least one geodesic knot always exists [Bull. London Math. Soc.
Chinburg +3 more
core +1 more source
Topological Hochschild cohomology and generalized Morita equivalence [PDF]
, 2004 We explore two constructions in homotopy category with algebraic precursors in the theory of noncommutative rings and homological algebra, namely the Hochschild cohomology of ring spectra and Morita theory.
Andrew Baker +2 more
core +3 more sources
, 2022 <p>Equivalence, duality, and invariance are the pin-points of unification in modern theoretical physics that got the twist of topologies when going beyond the notions of differential and conformal domains to geometries to the symplectic norm of topologies with the pillars being the algebraic geometry taking the counting of specified states ...
openaire +1 more source
Group approximation in Cayley topology and coarse geometry, Part III: Geometric property (T) [PDF]
, 2014 In this series of papers, we study correspondence between the following: (1) large scale structure of the metric space bigsqcup_m {Cay(G(m))} consisting of Cayley graphs of finite groups with k generators; (2) structure of groups which appear in the ...
Mimura, Masato +3 more
core +2 more sources
Renormalization in one-dimensional dynamics
Russian Mathematical Surveys, 2023 The study of the dynamical and topological properties of interval exchange transformations and their natural generalizations is an important problem, which lies at the intersection of several branches of mathematics, including dynamical systems, low ...
A. Skripchenko
semanticscholar +1 more source
Intrinsic linking and knotting of graphs in arbitrary 3-manifolds [PDF]
, 2005 We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically ...
Blake Mellor +10 more
core +10 more sources
The concordance genus of knots
, 2004 In knot concordance three genera arise naturally, g(K), g_4(K), and g_c(K): these are the classical genus, the 4-ball genus, and the concordance genus, defined to be the minimum genus among all knots concordant to K. Clearly 0
Artin +26 more
core +3 more sources
Nullification functors and the homotopy type of the classifying space for proper bundles [PDF]
, 2005 Let G be a discrete group for which the classifying space for proper G-actions is finite-dimensional. We find a space W such that for any such G, the classifying space PBG for proper G-bundles has the homotopy type of the W-nullification of BG.
Baum +19 more
core +5 more sources