相关论文: Finite Type Invariants

Shifts of finite type defined from shift equivalent matrices must be flow equivalent.

We give a survey of the theory of finite quantum groupoids (weak Hopf algebras), including foundations of the theory and applications to finite depth subfactors, dynamical deformations of quantum groups, and invariants of knots and…

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were…

A survey of recent results about profinite groups, and results about infinite and finite groups where the theory of profinite groups plays a leading role.

In this paper a new variational approach concerning functions (continuous) over Hilbert spaces is presented.

This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.

The invariant is one of central topics in science, technology and engineering. The differential invariant is essential in understanding or describing some important phenomena or procedures in mathematics, physics, chemistry, biology or…

Periodic-finite-type shifts (PFT's) form a class of sofic shifts that strictly contains the class of shifts of finite type (SFT's). In this paper, we investigate how the notion of "period" inherent in the definition of a PFT causes it to…

This is a reference volume on polyfold and Fredholm theory.

In this article, we study the invariant differential forms which a correspondence of curves admits. We also try to classify the correspondences of $\mathbb{P}^1$ that admits such invariant differential forms.

Proposal for contribution to the quantum field theory section in "Encyclopedia of Mathematical Physics".

Finite mixture models have been a very important tool for exploring complex data structures in many scientific areas, for example, economics, epidemiology, finance. In the past decade, semiparametric techniques have been popularly…

In this paper, we study modular transformation properties of a certain class of functions with indefinite quadratic forms.

We describe the algebra of finite order invariants on the set of all $(n,2)$-torus knots.

An expository article on Turaev surfaces written for "A Concise Encyclopedia of Knot Theory," to appear.

An exposition of the basic geometry of twistor integrals, intended for mathematicians.

We investigate a degree 5 invariant of groups of type E8 and give its applications to the structure of finite subgroups in algebraic groups.

We introduce the notion of porous invariants for multipath (or branching/nondeterministic) affine loops over the integers; these invariants are not necessarily convex, and can in fact contain infinitely many 'holes'. Nevertheless, we show…

This article contains a basic introduction to the local study of finite groups, including a brief perspective on the theory of fusion systems and $p$-local finite groups. -- Este art\'iculo contiene una introducci\'on b\'asica al estudio…

This is a chapter of an encyclopedia which does not have an abstract.