Geometric models for twisted K-homology

Add to your list(s) Download to your calendar using vCal

• Thomas Schick (Georg-August-Universität Göttingen)
• Monday 27 March 2017, 16:00-17:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact INI IT.

OASW02 - Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras

Co-author: Paul Baum (Penn State University)

K-homology, the homology theory dual to K-theory, can be described in a number of quite distinct models. One of them is analytic, uses Kasparov's KK-theory, and is the home of index problems. Another one uses geometric cycles, going back to Baum and Douglas. A large part of index theory is concerned with the isomorphism between the geoemtric and the analytic model, and with Chern character transformations to (co)homology.

In applications to string theory, and for certain index problems, twisted versions of K-theory and K-homology play an essential role.
 
We will descirbe the general context, and then focus on two new models for twisted K-homology and their applications and relations. These aere again based on geometric cycles in the spirit of Baum and Douglas. We will include in particular precise discussions of the different ways to define and work with twists (for us, classified by elements of the third integral cohomology group of the base space in question).

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.