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TT¯ -deformed actions and (1,1) supersymmetry
(Springer, 2019-10)
We describe an algorithmic method to calculate the TT¯ deformed Lagrangian of a given seed theory by solving an algebraic system of equations. This method is derived from the topological gravity formulation of the deformation. ...
T-duality on nilmanifolds
(Springer, 2018-05)
We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called ...
Two examples of vanishing and squeezing in K1
(State University of New York, 2020-06)
Controlled topology is one of the main tools for proving the isomorphism conjecture concerning the algebraic K-theory of group rings. In this article we dive into this machinery in two examples: when the group is infinite ...
The homotopy types of the posets of p-subgroups of a finite group
(Academic Press Inc Elsevier Science, 2018-04)
We study the homotopy properties of the posets of p-subgroups Sp(G) and Ap(G) of a finite group G, viewed as finite topological spaces. We answer a question raised by R.E. Stong in 1984 about the relationship between the ...
Borel and Hausdorff hierarchies in topological spaces of Choquet games and their effectivization
(Cambridge University Press, 2015-10)
What parts of the classical descriptive set theory done in Polish spaces still hold for more general topological spaces, possibly T0 or T1, but not T2 (i.e. not Hausdorff)? This question has been addressed by Selivanov in ...
Non-classification of free Araki-Woods factors and τ-invariants
(European Mathematical Society, 2019-09)
We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not classifiable by countable structures. We also prove that equality of τ-topologies, arising as invariants of ...
A Categorical Duality for Semilattices and Lattices
(Springer, 2020-10)
The main aim of this article is to develop a categorical duality between the category of semilattices with homomorphisms and a category of certain topological spaces with certain morphisms. The principal tool to achieve ...
Homogeneous manifolds from noncommutative measure spaces
(Academic Press Inc Elsevier Science, 2010-05)
Let M be a finite von Neumann algebra with a faithful trace τ. In this paper we study metric geometry of homogeneous spaces O of the unitary group U of M, endowed with a Finsler quotient metric induced by the p-norms of ...
The unity and identity of decidable objects and double-negation sheaves
(Association for Symbolic Logic, 2018-12)
Let be a topos, be the full subcategory of decidable objects, and be the full subcategory of double-negation sheaves. We give sufficient conditions for the existence of a Unity and Identity for the two subcategories of ...
On the geometry of generalized inverses
(Wiley VCH Verlag, 2005-04)
We study the set S = {(a, b) ∈ A × A : aba = a, bab = b} which pairs the relatively regular elements of aBanach algebra A with their pseudoinverses, and prove that it is an analytic submanifold of A × A. If A is a C∗-algebra, ...