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Some remarks about Poincaré duality pairs
(2012-07-01)
Bieri-Eckmann [6] introduced the concept of relative cohomology for a group pair (G, S), where G is a group and S is a family of subgroups of G and, by using that theory, they introduced the concept of Poincaré duality ...
Some remarks about Poincaré duality pairs
(2012-07-01)
Bieri-Eckmann [6] introduced the concept of relative cohomology for a group pair (G, S), where G is a group and S is a family of subgroups of G and, by using that theory, they introduced the concept of Poincaré duality ...
On certain homological invariant and its relation with poincaré duality pairs
(2018-01-01)
Let G be a group, S = {Si, i ∈ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a ℤ2 G-module. In [4] the authors defined a homological invariant E∗ (G, S, M), which is “dual” to ...
On certain homological invariant and its relation with Poincare duality pairs
(Luhansk Taras Shevchenko Natl Univ, 2018-01-01)
Let G be a group, S = {S-i, i is an element of I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z(2)G-module. In [4] the authors defined a homological invariant E,(G,S,M), which ...
A nonabelian particle-vortex duality in gauge theories
(2016-08-01)
We define a nonabelian version of particle-vortex duality, by dimensionally extending usual (1+1)-dimensional nonabelian T-duality to (2+1) dimensions. While we will explicitly describe a global SU(2) symmetry, our methods ...
On Poincare duality for pairs (G,W)
(De Gruyter Open Ltd, 2015-05-28)
Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincare duality pair (G, W), the set of representatives for the G-orbits in W and the family of isotropy subgroups. We ...
Profinite completions of orientable Poincare duality groups of dimension four and Euler characteristic zero
(European Mathematical SocZurichSuíça, 2009)
Gaiotto duality for the twisted A(2N-1) series
(Springer, 2015-05-14)
We study 4D N = 2 superconformal theories that arise from the compactification of 6D N = (2, 0) theories of type A(2N-1) on a Riemann surface C, in the presence of punctures twisted by a Z(2) outer automorphism. We describe ...
Gaiotto duality for the twisted A(2N-1) series
(Springer, 2015)