Antisymmetry

About: Antisymmetry is a research topic. Over the lifetime, 214 publications have been published within this topic receiving 7914 citations.

The stationary Navier–Stokes equation on the whole plane with external force with antisymmetry

Abstract: This paper is concerned with the stationary Navier–Stokes equation in the two-dimensional whole plane with external force given by a potential with some symmetry, and gives a condition on the potential sufficient for the existence of a solution of the problem above. This paper also proves the uniqueness of the solution small in appropriate function spaces.

Sentence polarity and word order in Basque

Abstract: This paper argues for a new understanding of polarity-sensitive word order alternations in Basque, within a theory of grammar that assumes antisymmetry (Kayne 1994) and only XP movement. Drawing on Cinque's (1999) universal hierarchy of functional heads it argues that the negative order - Neg-Aux-V - is derivationally prior. The affirmative V-Aux order is produced by raising of the VP to a position called PolP, which also hosts the negative morpheme ez, in negative sentences, and the emphatic marker, ba, in emphatic affirmatives. An empirical advantage of this proposal over underlyingly mixed-head approaches to Basque (Laka 1990, Elordieta 2000) is its ability to explain scope taking between negation and evidential particles.

Floquet higher-order topological insulators and superconductors with space-time symmetries

Abstract: Floquet higher-order topological insulators and superconductors (HOTI/SCs) with an order-two space-time symmetry or antisymmetry are classified. This is achieved by considering unitary loops, whose nontrivial topology leads to the anomalous Floquet topological phases, subject to a space-time symmetry/antisymmetry. By mapping these unitary loops to static Hamiltonians with an order-two crystalline symmetry/antisymmetry, one is able to obtain the $K$ groups for the unitary loops and thus complete the classification of Floquet HOTI/SCs. Interestingly, we found that for every order-two nontrivial space-time symmetry/antisymmetry involving a half-period time translation, there exists a unique order-two static crystalline symmetry/antisymmetry, such that the two symmetries/antisymmetries give rise to the same topological classification. Moreover, by exploiting the frequency-domain formulation of the Floquet problem, a general recipe that constructs model Hamiltonians for Floquet HOTI/SCs is provided, which can be used to understand the classification of Floquet HOTI/SCs from an intuitive and complimentary perspective.

Antisymmetry and verb-final order in West Flemish

Abstract: This paper focuses on the derivation of the verb-final pattern in West Flemish, a West Germanic OV language. The paper compares antisymmetric approaches which assume short or no V-movement and antisymmetric approaches which postulate double movement: V-to-I movement + remnant movement. The data discussed concern (i) the position of the verb, (ii) the observed correlation of V-movement with certain patterns of argument distribution (object shift, the transitive expletive construction), and (iii) the expression of sentential negation. The data suggest that a double movement analysis is preferable to accounts without V-to-I movement.