Quantum cluster variables via Serre polynomials

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

F-polynomials in Quantum Cluster Algebras

F -polynomials and g-vectors were defined by Fomin and Zelevinsky to give a formula which expresses cluster variables in a cluster algebra in terms of the initial cluster data. A quantum cluster algebra is a certain noncommutative deformation of a cluster algebra. In this paper, we define and prove the existence of analogous quantum F -polynomials for quantum cluster algebras. We prove some pro...

متن کامل

Quantum Riemann–roch, Lefschetz and Serre

Given a holomorphic vector bundle E over a compact Kähler manifold X, one defines twisted Gromov-Witten invariants of X to be intersection numbers in moduli spaces of stable maps f : Σ → X with the cap product of the virtual fundamental class and a chosen multiplicative invertible characteristic class of the virtual vector bundle H0(Σ, f∗E) H1(Σ, f∗E). Using the formalism of quantized quadratic...

متن کامل

Tutte polynomials of wheels via generating functions

We find an explicit expression of the Tutte polynomial of an $n$-fan. We also find a formula of the Tutte polynomial of an $n$-wheel in terms of the Tutte polynomial of $n$-fans. Finally, we give an alternative expression of the Tutte polynomial of an $n$-wheel and then prove the explicit formula for the Tutte polynomial of an $n$-wheel.

متن کامل

Measurement Polynomials as Controlled Variables

In this chapter we present a method for finding controlled variables, which are nonlinear combinations of measurements. The procedure extends the concept of the null-space method (Alstad and Skogestad, 2007) to processes described by polynomial equations. The method consists of three main steps. First, the active constraints are determined. If the disturbance causes the set of active constraint...

متن کامل

Cluster automorphisms and compatibility of cluster variables

In this paper, we introduce a notion of unistructural cluster algebras, for which the set of cluster variables uniquely determines the clusters. We prove that cluster algebras of Dynkin type and cluster algebras of rank 2 are unistructural, then prove that if A is unistructural or of Euclidean type, then f : A → A is a cluster automorphism if and only if f is an automorphism of the ambient fiel...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)

سال: 2012

ISSN: 1435-5345,0075-4102

DOI: 10.1515/crelle.2011.129