Mathematische Zeitschrift Homology and cohomology of E∞ ring spectra

نویسندگان

  • Maria Basterra
  • Michael A. Mandell
  • M. Basterra
  • M. A. Mandell
چکیده

Every homology or cohomology theory on a category ofE∞ ring spectra is Topological André–Quillen homology or cohomology with appropriate coefficients. Analogous results hold more generally for categories of algebras over operads. Mathematics Subject Classification (2000): 55P43, 55P48, 55U35

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : m at h / 04 07 20 9 v 1 [ m at h . A T ] 1 2 Ju l 2 00 4 HOMOLOGY AND COHOMOLOGY OF E ∞ RING SPECTRA

Every homology or cohomology theory on a category of E∞ ring spectra is Topological André–Quillen homology or cohomology with appropriate coefficients. Analogous results hold for the category of A∞ ring spectra and for categories of algebras over many other operads.

متن کامل

Mathematische Zeitschrift Chiral rings of vertex algebras of mirror symmetry

We calculate chiral rings of the N = 2 vertex algebras constructed from the combinatorial data of toric mirror symmetry and show that they coincide with the description of stringy cohomology conjectured previously in a joint work with A. Mavlyutov. This constitutes an important reality check of the vertex algebra approach to mirror symmetry.

متن کامل

Generalized Local Homology Modules of Complexes

The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...

متن کامل

ON THE VANISHING OF DERIVED LOCAL HOMOLOGY MODULES

Let $R$ be a commutative Noetherian ring, $fa$ anideal of $R$ and $mathcal{D}(R)$ denote the derived category of$R$-modules. For any homologically bounded complex $X$, we conjecture that$sup {bf L}Lambda^{fa}(X)leq$ mag$_RX$. We prove thisin several cases. This generalize the main result of Hatamkhani and Divaani-Aazar cite{HD} for complexes.

متن کامل

On the Hopf Ring for a Symplectic Oriented Spectrum

1. Introduction Given any graded commutative ring R with identity, a Hopf ring over R is a com-mutative ring in the category of graded R-coalgebras. Such objects arise naturally in algebraic topology, as explained below, and their investigation was pioneered by Ravenel and Wilson in 14]. To any spectrum G we may associate an-spectrum fG r : r 2 Zg by choosing G r to be the space representing th...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005