String topology, a branch of mathematics, is the study of algebraic structures on the homology of free loop spaces. The field was started by Moira Chas...

is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at...

same topology. Isomorphisms between string representations of topologies can be found by normalizing according to the lexicographically minimal string rotation...

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...

Hausdorff TVS is metrizable if and only if its topology can be induced by a single topological string. A vector space is an abelian group with respect...

geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another. Geometric topology as an area...

Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric...

form of topology change, and the conifold transition, a more severe transformation of space, showing that topology can smoothly change in string theory...

charged) and F1 string and NS5 brane among other objects. The mathematical treatment of type IIA string theory belongs to symplectic topology and algebraic...

the advent of string topology, i.e. the study of new algebraic structures on the homology of the free loop space. Loop space Loop (topology) Quasigroup...

1952) is an American mathematician, specializing in algebraic topology and differential topology. Cohen received his bachelor's degree from the University...

it suited to the study of algebraic topology of the free loop space, especially in the field of string topology. We can do an analogous Sobolev construction...

primarily by its curvature, while the global geometry is characterised by its topology (which itself is constrained by curvature). General relativity explains...

during a symmetry-breaking phase transition in the early universe when the topology of the vacuum manifold associated to this symmetry breaking was not simply...

mathematician. Uribe's research deals with algebraic geometry and topology with string theory applications. Uribe graduated from secondary school in Bogotá...

Germany String theory landscape, the large number of possible false vacua in string theory Knot theory, a branch of mathematical topology This disambiguation...

In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a...

Topological quantum field theory Topological quantum number Topological string theory Topology of the universe Milnor–Thurston kneading theory Topological conjugacy...

to the invention of stringy K-theory. Kaufmann has also worked on string topology, invented by Moira Chas and Dennis Sullivan, and operad theory. Here...

In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions...

Hochschild cohomology, cohomology of vertex operator algebras, and string topology (see cactus operad). He is a Fellow of the American Mathematical Society...

on the Floer homology of a cotangent bundle that correspond to the string topology operations on the homology of the loop space of the underlying manifold...

which the string is threaded. One can distinguish three subgroups of wire-and-string puzzles: Closed string subgroup: The pieces of string consist of...

contributions to quantum gravity and string theory. These include his work on Calabi–Yau compactification and topology change in string theory, and on the stringy...

objects of study in algebraic topology, and they play an important role in vector calculus, complex analysis, geometric topology, differential geometry, and...

for line (string) defects in liquid crystals that can cross each other without entanglement. It was a non-trivial application of topology that first...

matter of manifolds is a strand common to algebraic topology, differential topology and geometric topology. Terminology: By this period manifolds are generally...

'topology is rubber-sheet geometry'. Subfields of topology include geometric topology, differential topology, algebraic topology and general topology....

Strings are further classified into open and closed. The topology of the worldsheet of an open string is R × I {\displaystyle \mathbb {R} \times I} , where...

containing all metadata, Polygon, LineString, Point elements, arcs and properties is defined as follows: { "type":"Topology", "transform":{ "scale": [1,1],...