Homotopy K3’s with several symplectic structures
نویسندگان
چکیده
منابع مشابه
Homotopy Unital A∞-morphisms with Several Entries
We show that morphisms from n homotopy unital A∞-algebras to a single one are maps over an operad module with n + 1 commuting actions of the operad A ∞, whose algebras are homotopy unital A∞-algebras. The operad A∞ and modules over it have two useful gradings related by isomorphisms which change the degree. The composition of A ∞-morphisms with several entries is presented as a convolution of a...
متن کاملSymmetric symplectic homotopy K3 surfaces
A study on the relation between the smooth structure of a symplectic homotopy K3 surface and its symplectic symmetries is initiated. A measurement of exoticness of a symplectic homotopy K3 surface is introduced, and the influence of an effective action of a K3 group via symplectic symmetries is investigated. It is shown that an effective action by various maximal symplectic K3 groups forces the...
متن کاملTight Contact Structures with No Symplectic Fillings
We exhibit tight contact structures on 3-manifolds that do not admit any symplectic fillings.
متن کاملControlled Homotopy Topological Structures
Let p : E —> B be a locally trivial fiber bundle between closed manifolds where dim E > 5 and B has a handlebody decomposition. A controlled homotopy topological structure (or a controlled structure^ for short) is a map / : M —> E where M is a closed manifold of the same dimension as E and / is a p~ (ε)-equivalence for every ε > 0 (see §2). It is the purpose of this paper to develop an obstruct...
متن کاملHomotopy Coherent Structures
Naturally occurring diagrams in algebraic topology are commutative up to homotopy, but not on the nose. It was quickly realized that very little can be done with this information. Homotopy coherent category theory arose out of a desire to catalog the higher homotopical information required to restore constructibility (or more precisely, functoriality) in such “up to homotopy” settings. The firs...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2001
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2001.5.267