On generalizing Lutz twists
نویسندگان
چکیده
In this note we give a possible generalization of Lutz twist to all dimensions. This reproves the fact that every contact manifold can be given a non-fillable contact structure and also shows great flexibility in the manifolds that can be realized as cores of overtwisted families. We moreover show that R has at least three distinct contact structures.
منابع مشابه
Contact Structures on 5–manifolds
Using recent work on high dimensional Lutz twists and families of Weinstein structures we show that any almost contact structure on a 5–manifold is homotopic to a contact structure.
متن کاملGales and supergales are equivalent for defining constructive Hausdorff dimension
We show that for a wide range of probability measures, constructive gales are interchangable with constructive supergales for defining constructive Hausdorff dimension, thus generalizing a previous independent result of Hitchcock [2] and partially answering an open question of Lutz [5].
متن کاملA Note on Twists of (y^2=x^3+1)
‎‎In the category of Mordell curves (E_D:y^2=x^3+D) with nontrivial torsion groups we find curves of the generic rank two as quadratic twists of (E_1), ‎and of the generic rank at least two and at least three as cubic twists of (E_1). ‎Previous work‎, ‎in the category of Mordell curves with trivial torsion groups‎, ‎has found infinitely many elliptic curves with ...
متن کاملHeegner Divisors, L-functions and Harmonic Weak Maass Forms
Recent works, mostly related to Ramanujan’s mock theta functions, make use of the fact that harmonic weak Maass forms can be combinatorial generating functions. Generalizing works of Waldspurger, Kohnen and Zagier, we prove that such forms also serve as “generating functions” for central values and derivatives of quadratic twists of weight 2 modular L-functions. To obtain these results, we cons...
متن کاملA Duality Method in Prediction Theory of Multivariate Stationary Sequences by Michael Frank and Lutz Klotz of Leipzig
Abstract. Let W be an integrable positive Hermitian q × q-matrix valued function on the dual group of a discrete abelian group G such that W is integrable. Generalizing results of T. Nakazi and ofA. G. Miamee [N] andM. Pourahmadi [MiP] for q = 1 we establish a correspondencebetween trigonometric approximation problems in L(W ) and certain approximation problems in L(W). The result is applied to...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- J. London Math. Society
دوره 84 شماره
صفحات -
تاریخ انتشار 2011