Displaying similar documents to “Realization and nonrealization of Poincaré duality quotients of 𝔽₂[x,y] as topological spaces”

A proof of the birationality of certain BHK-mirrors

Patrick Clarke (2014)

Complex Manifolds

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We generalize and give an elementary proof of Kelly’s refinement [9] of Shoemaker’s result [11] on the birationality of certain BHK-mirrors. Our approach uses a construction that is equivalent to the Krawitz generalization [10] of the duality in Berglund-Hübsch [2].

On Poincaré duality for pairs (G,W)

Maria Gorete Carreira Andrade, Ermínia de Lourdes Campello Fanti, Lígia Laís Fêmina (2015)

Open Mathematics

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Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincaré duality pair (G, W ), the set of representatives for the G-orbits in W and the family of isotropy subgroups. We also prove, through a cohomological invariant, a necessary condition for a pair (G, W ) to be a Poincaré duality pair when W is infinite.

Non-topological condensates in self-dual Chern-Simons gauge theory

Takashi Suzuki, Futoshi Takahashi (2004)

Banach Center Publications

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This note is concerned with the recent paper "Non-topological N-vortex condensates for the self-dual Chern-Simons theory" by M. Nolasco. Modifying her arguments and statements, we show that the existence of "non-topological" multi-vortex condensates follows when the number of prescribed vortex points is greater than or equal to 2.

On two recurrence problems

Michael Boshernitzan, Eli Glasner (2009)

Fundamenta Mathematicae

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We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincaré and Birkhoff recurrence; the second, due to the first author, is about moving recurrence. We provide a partial answer to a topological version of the moving recurrence problem.