• Deutsch
    • English
  • English 
    • Deutsch
    • English
  • Login
Item View 
  •   Home
  • Naturwissenschaften, Mathematik und Informatik
  • Fakultät für Mathematik und Informatik (inkl. GAUSS)
  • Item View
  •   Home
  • Naturwissenschaften, Mathematik und Informatik
  • Fakultät für Mathematik und Informatik (inkl. GAUSS)
  • Item View
JavaScript is disabled for your browser. Some features of this site may not work without it.

Nocommutative structures inquantum field theory

by Lada Peksova
Doctoral thesis
Date of Examination:2020-10-22
Date of issue:2021-10-19
Advisor:Prof. Dr. Dorothea Bahns
Referee:Prof. Dr. Ivo Sachs
Referee:Dr. Roman Golovko
crossref-logoPersistent Address: http://dx.doi.org/10.53846/goediss-8886

 

 

Files in this item

Name:THESIS.pdf
Size:1.07Mb
Format:PDF
ViewOpen

The following license files are associated with this item:


Abstract

English

In this thesis, structures defined via modular operads and properads are generalized to their non-commutative analogs. We define the connected sum for modular operads. This way we are able to construct the graded commutative product on the algebra over Feynman transform of the modular operad. This forms a Batalin-Vilkovisky algebra with symmetry given by the modular operad. We transfer this structure to the cohomology via the Homological perturbation lemma. In particular, we consider these constructions for Quantum closed and Quantum open modular operad. As a parallel project, we introduce an associative analog of Frobenius properad, called Open Frobenius properad. We construct the cobar complex over it and in the spirit of Barannikov, we interpret algebras over the cobar complex as homological differential operators. Furthermore, we present the IBA∞-algebras as an analog of well-known IBL∞-algebras.
Keywords: modular operads, properads, Batalin-Vilkovisky algebras, Quantum homotopy algebras, IBL∞ and IBA∞ algebras
 

Statistik

Publish here

Browse

All of eDissFaculties & ProgramsIssue DateAuthorAdvisor & RefereeAdvisorRefereeTitlesTypeThis FacultyIssue DateAuthorAdvisor & RefereeAdvisorRefereeTitlesType

Help & Info

Publishing on eDissPDF GuideTerms of ContractFAQ

Contact Us | Impressum | Cookie Consents | Data Protection Information
eDiss Office - SUB Göttingen (Central Library)
Platz der Göttinger Sieben 1
Mo - Fr 10:00 – 12:00 h


Tel.: +49 (0)551 39-27809 (general inquiries)
Tel.: +49 (0)551 39-28655 (open access/parallel publications)
ediss_AT_sub.uni-goettingen.de
[Please replace "_AT_" with the "@" sign when using our email adresses.]
Göttingen State and University Library | Göttingen University
Medicine Library (Doctoral candidates of medicine only)
Robert-Koch-Str. 40
Mon – Fri 8:00 – 24:00 h
Sat - Sun 8:00 – 22:00 h
Holidays 10:00 – 20:00 h
Tel.: +49 551 39-8395 (general inquiries)
Tel.: +49 (0)551 39-28655 (open access/parallel publications)
bbmed_AT_sub.uni-goettingen.de
[Please replace "_AT_" with the "@" sign when using our email adresses.]