Diversity as a general basis of tourism – system approach

The general basis for tourism consists in the diversity of natural and man-made environment. The diversity can be considered as a natural characteristic of natural and anthropogenic systems produced by them as a condition of its continuance and development at all levels. When assessing tourism, geodiversity, biodiversity and socio-economic diversity, which includes technological diversity might be defined. Geodiversity and biodiversity coupled with technological diversity for the basis of geoscience and montanistic tourism. In the case of biodiversity, in terms of tourism regional and structural types of diversity are particularly important that can be parallelized with a geotope and a geophenomenon. The aim is to highlight the need for system approach to the analysis of tourism as a complex phenomenon with a complex structure.Obecným základem turizmu je diverzita přírodního a antropogenního prostředí. diverzitu lze považovat za přirozenou vlastnost přírodních a antropogenních systémů, kterou si samy vytvářejí, jakožto podmínku svého setrvání a rozvoje na všech úrovních. Při posuzování turizmu lze vymezit geodiverzitu, biodiverzitu a socio-ekonomickou diverzitu, jejíž součástí je technologická diverzita. Geodiverzita a biodiverzita představuje spolu s trechnologickou diverzitou základ geovědního a montánního turizmu. V případě biodiverzity je z hlediska turizmu důležitá především regionální diverzita a strukturní diverzita, které lze paralelizovat s geotopem a geofenoménem. Cílem je poukázat na nutnost systémového přístupu k analýze turizmu jako komplexního jevu se složitou strukturou

Quasi-Hamiltonian bookkeeping of WZNW defects

We interpret the chiral WZNW model with general monodromy as an infinite dimensional quasi-Hamiltonian dynamical system. This interpretation permits to explain the totality of complicated cross-terms in the symplectic structures of various WZNW defects solely in terms of the single concept of the quasi-Hamiltonian fusion. Translated from the WZNW language into that of the moduli space of flat connections on Riemann surfaces, our result gives a compact and transparent characterisation of the symplectic structure of the moduli space of flat connections on a surface with k handles, n boundaries and m Wilson lines.Comment: 22 page

Yang-Baxter σ\sigma-model with WZNW term as E{ \mathcal E}-model

It turns out that many integrable $\sigma$-models on group manifolds belong to the class of the so-called ${ \mathcal E}$-models which are relevant in the context of the Poisson-Lie T-duality. We show that this is the case also for the Yang-Baxter $\sigma$-model with WZNW term introduced by Delduc, Magro and Vicedo in \cite{DMV15}.Comment: 10 pages, version to appear in Physics Letters

u-Deformed WZW Model and Its Gauging

We review the description of a particular deformation of the WZW model. The resulting theory exhibits a Poisson-Lie symmetry with a non-Abelian cosymmetry group and can be vectorially gauged.Comment: This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

η\eta and λ\lambda deformations as E{\cal E}-models

We show that the so called $\lambda$ deformed $\sigma$-model as well as the $\eta$ deformed one belong to a class of the ${\cal E}$-models introduced in the context of the Poisson-Lie-T-duality. The $\lambda$ and $\eta$ theories differ solely by the choice of the Drinfeld double; for the $\lambda$ model the double is the direct product $G\times G$ while for the $\eta$ model it is the complexified group $G^{\mathbb{C}}$. As a consequence of this picture, we prove for any $G$ that the target space geometries of the $\lambda$-model and of the Poisson-Lie T-dual of the $\eta$-model are related by a simple analytic continuation.Comment: 20 pages, final version accepted for publication in Nuclear Physics

Affine Poisson Groups and WZW Model

We give a detailed description of a dynamical system which enjoys a Poisson-Lie symmetry with two non-isomorphic dual groups. The system is obtained by taking the $q\to\infty$ limit of the q-deformed WZW model and the understanding of its symmetry structure results in uncovering an interesting duality of its exchange relations.Comment: This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

Research methodology in montanistic tourism

Research methodology in montanistic tourism involves the archival research and study of special literature, surface and underground field survey, the analysis of findings of rock fragments, mineral composition, traces of metallurgical processes, fragments of pottery, etc. A separate problem is the study and evaluation of the development of mining and post-mining landscapes, focusing on the entire supply chain of resource industries and their impact on the cultural development of the country

Hidden isometry of "T-duality without isometry"

We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who recently used Lie algebroid gauge theories to obtain sigma models exhibiting a "T-duality without isometry". We point out that those T-dualisability criteria are not written invariantly in [3] and depend on the choice of the algebroid framing. We then show that there always exists an isometric framing for which the Lie algebroid gauging boils down to standard Yang-Mills gauging. The "T-duality without isometry" of Chatzistavrakidis, Deser and Jonke is therefore nothing but traditional isometric non-Abelian T-duality in disguise.Comment: 15 page

On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories

We construct a new supermatrix model which represents a manifestly supersymmetric noncommutative regularisation of the $UOSp(2\vert 1)$ supersymmetric Schwinger model on the supersphere. Our construction is much simpler than those already existing in the literature and it was found by using Poisson geometry in a substantial way.Comment: 29 pages, we enlarge Section 3.3 by adding a comparison with older results on the subject of the component expansion