Tree- versus graph-level quasilocal Poincaré duality on $$S^{1}$$ S 1

Duality of Quasilocal Black Hole Thermodynamics

We consider T-duality of the quasilocal black hole thermodynamics for the three-dimensional low energy effective string theory. Quasilocal thermodynamic variables in the first law are explicitly calculated on a general axisymmetric three-dimensional black hole solution and corresponding dual one. Physical meaning of the dual invariance of the black hole entropy is considered in terms of the Euc...

Poincaré Duality Algebras Mod Two

Open-Closed Duality at Tree Level

We study decay of unstable D-branes in string theory in the presence of electric field, and show that the classical open string theory results for various properties of the final state agree with the properties of closed string states into which the system is expected to decay. This suggests a duality between tree level open string theory on unstable D-branes and closed strings at high density.

Poincaré duality in dimension 3 CT

The paper gives a review of progress towards extending the Thurston programme to the Poincaré duality case. In the first section, we fix notation and terminology for Poincaré complexes X (with fundamental group G) and pairs, and discuss finiteness conditions. For the case where there is no boundary, π2 is non-zero if and only if G has at least 2 ends: here one would expect X to split as a conne...

Remark on Poincaré duality for SU q ( 2 ) Partha

Let A be the C∗-algebra associated with SUq(2), J be the modular conjugation coming from the Haar state and let D be the generic equivariant Dirac operator for SUq(2). We prove in this article that there is no element in JAJ , other than the scalars, that have bounded commutator with D. This shows in particular that JAJ does not contain any Poincaré dual for SUq(2). AMS Subject Classification N...