An Exact Homology Sequence Induced by a Galois Connection
نویسندگان
چکیده
منابع مشابه
An exact sequence for contact and symplectic homology
Given a symplectic manifold (W,ω) with contact type boundary (M, ξ), one can define the symplectic homology of (W,ω) and the linearized contact homology of (M, ξ) with respect to its filling. We establish a Gysintype exact sequence relating these invariants and describe one of the maps therein in terms of rational holomorphic curves in the symplectization of (M, ξ).
متن کاملcomputing character degrees via a galois connection
in a previous paper, the second author established that, given finite fields $f < e$ and certain subgroups $c leq e^times$, there is a galois connection between the intermediate field lattice ${l mid f leq l leq e}$ and $c$'s subgroup lattice. based on the galois connection, the paper then calculated the irreducible, complex character degrees of the semi-direct product $c rtimes {rm gal} (e/f)$...
متن کاملExact sequences of extended $d$-homology
In this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. We present sufficient conditions for the existence of long exact extended d- homology sequence. Also we give some illustrative examples.
متن کاملA Long Exact Sequence for the Branching Homology
A function complex is introduced on the category of flows so that the model category of flows becomes a simplicial model category. This allows us to show that the homotopy branching space of the cone of a morphism of flows is homotopy equivalent to the cone of its image by the homotopy branching space functor. The crux of the proof is that the homotopy branching space of the terminal flow is co...
متن کاملA long exact sequence for homology of FI-modules
We construct a long exact sequence involving the homology of an FI-module. Using the long exact sequence, we give two methods to bound the Castelnuovo–Mumford regularity of an FI-module which is generated and related in finite degree. We also prove that for an FImodule which is generated and related in finite degree, if it has a nonzero higher homology, then its homological degrees are strictly...
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: Proceedings of the London Mathematical Society
سال: 1977
ISSN: 0024-6115
DOI: 10.1112/plms/s3-35.3.423