Let N be a closed, connected, smooth 4-manifold with H1(N ;Z) = 0. Our main result is the following classification of the set E(N) of smooth embeddings N → R up to smooth isotopy. Haefliger proved that the set E(S) with the connected sum operation is a group isomorphic to Z12. This group acts on E(N) by embedded connected sum. Boéchat and Haefliger constructed an invariant BH : E(N) → H2(N ;Z) ...

Muslims in France: Identifying a Discriminatory Equilibrium We analyze the assimilation patterns of Muslim immigrants in Western countries with a unique identification strategy. Survey and experimental data collected in France in 2009 reveal that Muslims and rooted French are locked in a sub-optimal equilibrium whereby (i) rooted French exhibit taste-based discrimination against those they are ...

A “largely theocratic society” (LTS) is defined as one in which the main purpose of government is religious and some coercion is used to serve it. Such societies exist at least in the imagination and discourse of some people. The focus is on LTS in which the major religious roles are assigned -partly on the basis of theological interpretations -to priesthood, kingship and community. In the smal...

It is pointed out that there exist a few problems to be overcome toward an observable sub-meV QCD axion in superstring compactification. We give a general expression for the axion decay constant. For a large domain wall number NDW , the axion decay constant can be substantially lowered from a generic value of a scalar singlet VEV. The Yukawa coupling structure in the recent Z12−I model is studi...

We construct a supersymmetric standard model in the context of the Z12−I orbifold compactification of the E8 × E ′ 8 heterotic string theory. The gauge group is SU(3)c × SU(2)L × U(1)Y ×U(1) 4 × [SO(10)× U(1)] with sinθ W = 3/8. We obtain three families of SO(10) spinor-like chiral matter states, and Higgs doublets. All other extra states are exactly vector-like under the standard model gauge s...

Marital Fertility and Religion: Recent Changes in Spain Since the onset of democracy in 1975, both total fertility and Mass attendance rates in Spain have dropped dramatically. I use the 1985 and 1999 Spanish Fertility Surveys to study whether the significance of religion in fertility behavior – both in family size and in the spacing of births – has changed. While in the 1985 SFS family size wa...

Z2 ⊕ Z12 {(1, 4), (1, 5), (0, 3)}, {(1, 3), (1, 4), (0, 3)}, {(0, 1), (0, 2), (1, 1)}, {(1, 3), (0, 4), (1, 2)}, {(1, 3), (1, 5), (0, 3)}, {(0, 4), (0, 5), (1, 2)}, {(0, 2), (1, 5), (1, 2)}, {(1, 3), (0, 1), (1, 5)}, {(0, 1), (0, 3), (1, 2)}, {(1, 3), (0, 1), (0, 4)}, {(0, 2), (0, 3), (1, 2)}, {(1, 4), (1, 1), (1, 2)}, {(1, 4), (1, 5), (0, 5)}, {(1, 3), (0, 1), (0, 5)}, {(0, 2), (0, 3), (1, 1)}...

In history and in everyday life it has often been observed that on one hand religion can enhance peaceful behaviour, but that it can on the other hand as well lead to violent extremism and intolerance. This paper argues with the help of a simple theoretical con‡ict model that the level of education matters crucially for the impact religion has on the likelihood of con‡ict. In particular, in a l...

The goal of this article is to clarify the relationship between the topos of triads and the neo-Riemannian PLR-group. To do this, we first develop some theory of generalized interval systems: 1) we prove the well known fact that every pair of dual groups is isomorphic to the left and right regular representations of some group (Cayley’s Theorem), 2) given a simply transitive group action, we sh...