Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Stochastic cohomology of Chen–Souriau and line bundle over the Brownian bridge
Download PDF
Download PDF
  • Published: June 2001

Stochastic cohomology of Chen–Souriau and line bundle over the Brownian bridge

  • Rémi Léandre1 

Probability Theory and Related Fields volume 120, pages 168–182 (2001)Cite this article

  • 95 Accesses

  • 9 Citations

  • Metrics details

Abstract.

We define a stochastic cohomology theory related to a stochastic diffeology for the Hoelder loop space. We show that the stochastic de Rham cohomology groups are equal to the deterministic de Rham cohomology groups of the Hoelder loop space. As an application, we show that a stochastic line bundle over the Brownian bridge (with fiber almost surely defined) is isomorphic to a true line bundle over the Hoelder loop space.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Institut Elie Cartan, Département de Mathématiques, Université Henri Poincaré, 54000. Vandoeuvre-les-Nancy, France. e-mail: Remi.Leandre@antares.iecn.u-nancy.fr, , , , , , FR

    Rémi Léandre

Authors
  1. Rémi Léandre
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 9 November 1998 / Revised version: 14 July 2000 / Published online: 26 April 2001

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Léandre, R. Stochastic cohomology of Chen–Souriau and line bundle over the Brownian bridge. Probab Theory Relat Fields 120, 168–182 (2001). https://doi.org/10.1007/PL00008779

Download citation

  • Issue Date: June 2001

  • DOI: https://doi.org/10.1007/PL00008779

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Mathematics Subject Classification (2000): 58G32
  • Key words or phrases: Brownian bridge – Cohomology – Line bundle
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature