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Computational treatment of support verb constructions in Italian and in Russian
We aim at comparing some corpora-based computational resources that enable us to analyse the collocational profiles of the SVCs in both languages.
The resources include SketchEngine, which works for both languages, Lexit for Italian and NKRJA for Russian.
The case study focuses on the Italian verb mettere followed by a prepositional phrase with the prepositions in and a, and the corresponding Russian verb stavit’/postavit’ followed by a prepositional phrase with the prepositions v and na.
We discuss the options offered by the tools at the syntax-semantic interface. A closer comparison of the three tools shows that they provide different data. We have explored some aspects of the semantic tagging of Lexit
and NKRJA and propose an integration of the two tools. It seems that further development of semantic tagging could be helpful in creating Italian-Russian lexicographic resources
Le costruzioni con verbo supporto in russo: il caso di DELAT’
Russian Support Verb Constructions with DELAT’.
This paper deals with Support Verb Constructions (SVC) in Russian that are formed by the verb delat’ ‘to make’ and its nominal object (V+Nobj).
The study has been carried out on the Russian Web Corpus (gathered by Serge Sharoff, University of Leeds), which is available as a pre-loaded corpus within The Sketch Engine corpus query system (http://the.sketchengine.co.uk). About 150 types of SVC with a token frequency ≥10 resulted from the query. The types have been classified into lexical-semantic patterns, on the basis of Nsubj and Nobj semantic features and the Support verb lexical-semantic meaning. Subsequently, the patterns have been grouped into the well-known actional classes of accomplishments, achievements, semelfactives, activities and states (Vendler 1967, Comrie 1976).
The overall classification shows that most SVCs go hand in hand with the features of telicity (as regards verbs) and of concreteness and referentiality (as regards Nobj), whereas less SVCs can be found into the activity and states verb classes. Moreover, the presence of a high number of SVCs in the corpus may be considered as a further evidence of the typological shift towards the analytic type that contemporary Russian is apparently undergoing (see e.g. the simplification of noun declension, the expansion of invariable words and the increasing number of bi-aspectual verbs)
Loop and path spaces and four-dimensional BF theories: connections, holonomies and observables
We study the differential geometry of principal G-bundles whose base space is the space of free paths (loops) on a manifold M. In particular we consider connections defined in terms of pairs (A,B), where A is a connection for a fixed principal bundle P(M,G) and B is a 2-form on M. The relevant curvatures, parallel transports and holonomies are computed and their expressions in local coordinates are exhibited. When the 2-form B is given by the curvature of A, then the so-called non-abelian Stokes formula follows.
For a generic 2-form B, we distinguish the cases when the parallel transport depends on the whole path of paths and when it depends only on the spanned surface. In particular we discuss generalizations of the non-abelian Stokes formula. We study also the invariance properties of the (trace of the) holonomy under suitable transformation groups acting on the pairs (A,B).
In this way we are able to define observables for both topological and non-topological quantum field theories of the BF type. In the non-topological case, the surface terms may be relevant for the understanding of the quark-confinement problem. In the topological case the (perturbative) four-dimensional quantum BF-theory is expected to yield invariants of imbedded (or immersed) surfaces in a 4-manifold M
The evaluation map in field theory, sigma-models and strings II
In this paper, we examine specifically the rôle of the evaluation map in sigma-models and strings. We discuss the difference between sigma-models and field theory, as far as anomaly cancellation is concerned. The introduction of the Wess—Zumino terms in different sigma-models is considered. Anomalies in string theory are discussed, with special attention to the conformal anomalies and to the sigma-model anomalies for the imbedded (or immersed) world-sheet of the string. Conformal anomalies in two dimensions are connected to holomorphic and gravitational anomalies. In order to have the cancellation of the sigma-model anomalies of the string, certain topological conditions must be satisfied by the ambient manifold. The rôle of the evaluation map in the calculations of global anomalies is also discussed, both for field theories and for sigma-models. In particular global anomalies are connected with the differential characters of Cheeger and Simons. We show that the absence of global anomalies in sigma-models is guaranteed by the absence of torsion in suitable homology groups of the target space
Quantum field theory and link invariants
A skein relation for the expectation values of Wilson line operators in three-dimensional SU(N) Chern-Simons theory is derived. We use a variational method based on the properties of the three-dimensional field theory. The relationship between the above expectation values and the known link invariants is established
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