MathematischeGesellschaft Irreducible SL(2,C)-representations of integer homology 3-spheres |  |
Speaker:Prof. Dr. Raphael Zentner, Universität Regensburg
Location:Mathematisches Institut, Bunsenstr 3-5Sitzungszimmer, Bunsenstr. 3-5, 37073 GöttingenGras Geo Map
Organizer:Mathematisches Institut
Details:
Abstract: We prove that the splicing of any two non-trivial knots in the 3-sphere admits an irreducible SU(2)-representation of its fundamental group.
This uses instanton gauge theory, and in particular a non-vanishing result of Kronheimer-Mrowka and some new results that we establish for holonomy perturbations of the ASD equation. Using a result of Boileau, Rubinstein and Wang (which builds on the geometrization theorem of 3-manifolds), it follows that the fundamental group of any integer homology 3-sphere different from the 3-sphere admits irreducible representations of its fundamental group in SL(2,C).
This uses instanton gauge theory, and in particular a non-vanishing result of Kronheimer-Mrowka and some new results that we establish for holonomy perturbations of the ASD equation. Using a result of Boileau, Rubinstein and Wang (which builds on the geometrization theorem of 3-manifolds), it follows that the fundamental group of any integer homology 3-sphere different from the 3-sphere admits irreducible representations of its fundamental group in SL(2,C).
Search for keywords:
Type:Colloquium
Language:English
Category:Research
Export to your calendar (e.g., Outlook or iCal):
Direct link to event:https://events.goettingen-campus.de/event?eventId=7846
EN DE
