Generalized signature operators and spectral triples for the Kronecker foliation

R. Matthes; O. Richter; G. Rudolph

Banach Center Publications (2003)

  • Volume: 61, Issue: 1, page 125-147
  • ISSN: 0137-6934

Abstract

top
We consider two spectral triples related to the Kronecker foliation. The corresponding generalized Dirac operators are constructed from first and second order signature operators. Furthermore, we consider the differential calculi corresponding to these spectral triples. In one case, the calculus has a description in terms of generators and relations, in the other case it is an "almost free" calculus.

How to cite

top

R. Matthes, O. Richter, and G. Rudolph. "Generalized signature operators and spectral triples for the Kronecker foliation." Banach Center Publications 61.1 (2003): 125-147. <http://eudml.org/doc/281871>.

@article{R2003,
abstract = {We consider two spectral triples related to the Kronecker foliation. The corresponding generalized Dirac operators are constructed from first and second order signature operators. Furthermore, we consider the differential calculi corresponding to these spectral triples. In one case, the calculus has a description in terms of generators and relations, in the other case it is an "almost free" calculus.},
author = {R. Matthes, O. Richter, G. Rudolph},
journal = {Banach Center Publications},
keywords = {Kronecker foliations; generalized Dirac operators; signature operators; differential calculi},
language = {eng},
number = {1},
pages = {125-147},
title = {Generalized signature operators and spectral triples for the Kronecker foliation},
url = {http://eudml.org/doc/281871},
volume = {61},
year = {2003},
}

TY - JOUR
AU - R. Matthes
AU - O. Richter
AU - G. Rudolph
TI - Generalized signature operators and spectral triples for the Kronecker foliation
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 125
EP - 147
AB - We consider two spectral triples related to the Kronecker foliation. The corresponding generalized Dirac operators are constructed from first and second order signature operators. Furthermore, we consider the differential calculi corresponding to these spectral triples. In one case, the calculus has a description in terms of generators and relations, in the other case it is an "almost free" calculus.
LA - eng
KW - Kronecker foliations; generalized Dirac operators; signature operators; differential calculi
UR - http://eudml.org/doc/281871
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.