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Publications Influence

The cyclic theory of Hopf algebroids

- N. Kowalzig, H. Posthuma
- Mathematics
- 30 April 2009

We give a systematic description of the cyclic cohomology theory of Hopf alge\-broids in terms of its associated category of modules. Then we introduce a dual cyclic homology theory by applying… Expand

32 4- PDF

Batalin-Vilkovisky Structures on Ext and Tor

- N. Kowalzig, U. Kraehmer
- Mathematics
- 22 March 2012

This article studies the algebraic structure of homology theories defined by a left Hopf algebroid U over a possibly noncommutative base algebra A, such as for example Hochschild, Lie algebroid (in… Expand

21 4- PDF

When Ext is a Batalin-Vilkovisky algebra

- N. Kowalzig
- Mathematics
- 4 October 2016

We show under what conditions the complex computing general Ext-groups carries the structure of a cyclic operad such that Ext becomes a Batalin-Vilkovisky algebra. This is achieved by transferring… Expand

4 1- PDF

Duality and products in algebraic (co)homology theories

- N. Kowalzig, U. Kraehmer
- Mathematics
- 22 December 2008

Abstract The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a × A -Hopf algebra structure on the relevant universal enveloping algebra. This provides… Expand

28 1- PDF

Hopf Algebroids and Their Cyclic Theory

- N. Kowalzig
- Mathematics
- 30 June 2009

The main objective of this thesis is to clarify concepts of generalised symmetries in noncommutative geometry (i.e., the noncommutative analogue of groupoids and Lie algebroids) and their associated… Expand

25 1- PDF

Gerstenhaber and Batalin–Vilkovisky Structures on Modules over Operads

- N. Kowalzig
- Mathematics
- 5 December 2013

In this article, we show under what additional ingredients a comp (or opposite) module over an operad with multiplication can be given the structure of a cyclic k-module and how the underlying… Expand

7 1- PDF

Quantization, noncommutative geometry, and symmetry

- G. Heckman, N. P. Landsman, +5 authors N. Kowalzig
- Physics
- 1 September 2002

Centres, trace functors, and cyclic cohomology

- N. Kowalzig
- Mathematics
- 26 December 2020

We study the biclosedness of the monoidal categories of modules and comodules over a (left or right) Hopf algebroid, along with the bimodule category centres of the respective opposite categories and… Expand

CYCLIC HOMOLOGY ARISING FROM ADJUNCTIONS

- N. Kowalzig, U. Kraehmer, Paul Slevin
- Mathematics
- 28 April 2015

Given a monad and a comonad, one obtains a distributive law between them from lifts of one through an adjunction for the other. In particular, this yields for any bialgebroid the Yetter-Drinfel'd… Expand

4- PDF

Cyclic structures in algebraic (co)homology theories

- N. Kowalzig, U. Kraehmer
- Mathematics
- 15 November 2010

This note discusses the cyclic cohomology of a left Hopf algebroid ($\times_A$-Hopf algebra) with coefficients in a right module-left comodule, defined using a straightforward generalisation of the… Expand

4- PDF

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