منابع مشابه
Twists versus Modifications
The twist construction is a geometric T-duality that produces new manifolds from old, works well with for example hypercomplex structures and is easily inverted. It tends to destroy properties such as the hyperKähler condition. On the other hand modifications preserve the hyperKähler property, but do not have an obvious inversion. In this paper we show how elementary deformations provide a link...
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If E is an elliptic curve over Q, then let E(D) denote the D−quadratic twist of E. It is conjectured that there are infinitely many primes p for which E(p) has rank 0, and that there are infinitely many primes ` for which E(`) has positive rank. For some special curves E we show that there is a set S of primes p with density 1 3 for which if D = Q pj is a squarefree integer where pj ∈ S, then E...
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Consider cotangent bundles of exotic spheres, with their canonical symplectic structure. They admit automorphisms which preserve the part at infinity of one fibre, and which are analogous to the square of a Dehn twist. Pursuing that analogy, we show that they have infinite order up to isotopy (inside the group of all automorphisms with the same behaviour).
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We described the twisted interval above in terms of pure mathematics; yet twisting plays several roles in physics. First, one often encounters parallel transport about a closed trajectory. The physical role of twisting includes the fact that the condition (2) ensures that angular momentum zero is not allowed, 0 6∈ K. Hence twisting provides an infra-red regularization, which can be useful in th...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2016
ISSN: 0001-8708
DOI: 10.1016/j.aim.2016.08.028