A Koszul Duality for Props

نویسنده

  • BRUNO VALLETTE
چکیده

The notion of prop models the operations with multiple inputs and multiple outputs, acting on some algebraic structures like the bialgebras or the Lie bialgebras. In this paper, we generalize the Koszul duality theory of associative algebras and operads to props.

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

Koszul Duality for PROPs

The notion of PROP models the operations with multiple inputs and multiple outputs, acting on some algebraic structures like the bialgebras or the Lie bialgebras. We prove a Koszul duality theory for PROPs generalizing the one for associative algebras and for operads.

متن کامل

Deformation Theory of Representations of Prop(erad)s I

In this paper and its follow-up [MV08], we study the deformation theory of morphisms of properads and props thereby extending Quillen’s deformation theory for commutative rings to a non-linear framework. The associated chain complex is endowed with an L∞-algebra structure. Its Maurer-Cartan elements correspond to deformed structures, which allows us to give a geometric interpretation of these r...

متن کامل

Iwahori-Matsumoto involution and linear Koszul Duality

In this paper we use linear Koszul duality, a geometric version of the standard duality between modules over symmetric and exterior algebras studied in [MR1, MR2] to give a geometric realization of the Iwahori–Matsumoto involution of affine Hecke algebras. More generally we prove that linear Koszul duality is compatible with convolution in a general context related to convolution algebras.

متن کامل

Poincaré/koszul Duality

We prove a duality for factorization homology which generalizes both usual Poincaré duality for manifolds and Koszul duality for En-algebras. The duality has application to the Hochschild homology of associative algebras and enveloping algebras of Lie algebras. We interpret our result at the level of topological quantum field theory.

متن کامل

Operadic Koszul Duality

1. OPERADS Our goal in this talk is to give a sort of categorified version of “Koszul duality”. One of the primary motivations for us to do so is to take the classical results about Koszul duality, which form a convoluted and complex body of literature, and stretch them apart to see which assumptions power which parts of the theory. Classically, Koszul duality results are concerned chiefly with...

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 2007