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DTSTART;TZID=America/New_York:20260219T133000
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SUMMARY:Topics in the Relation of Four-Manifold Invariants and Supersymmetric Field Theory
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Greg Moore\, Rutgers University \nTitle: Topics in the Relation of Four-Manifold Invariants and Supersymmetric Field Theory \nAbstract: We will begin with a review of topological twisting as a choice of background fields. We then review the standard paradigm for the formulation of Donaldson invariants as correlation functions in twisted supersymmetric N=2 d=4 quantum field theory\, together with the quantum field theory (QFT) derivation of the relation of the Donaldson invariants to Seiberg-Witten invariants. We then consider what can be said using other twisted QFTs. We present some new results on the four-manifold invariants derived from N=2 supersymmetric QCD. We then move on to 5d theories and the “K-theoretic Donaldson invariants” and comment briefly on the 6d theories and the “elliptic Donaldson invariants.” In the unlikely event that time permits we finish with the extension to families of four-manifolds\, where the coupling to a suitably twisted and truncated superconformal gravity is expected to produce invariants valued in the cohomology of the classifying space of the diffeomorphism group of the four-manifold.
URL:https://cmsa.fas.harvard.edu/event/dgphys_21926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-2.19.26-scaled.png
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DTSTART;TZID=America/New_York:20260219T153000
DTEND;TZID=America/New_York:20260219T163000
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CREATED:20260209T003754Z
LAST-MODIFIED:20260209T193802Z
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SUMMARY:Constructing oriented TQFTs from twisted pivotal tensor categories
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: William Stewart \nTitle: Constructing oriented TQFTs from twisted pivotal tensor categories \nAbstract: The cobordism hypothesis classifies n-dimensional oriented TQFTs in terms of SO(n) homotopy fixed point data. An SO(2) homotopy fixed point structure on a finite tensor category gives rise to a twisted pivotal structure (a more general notion than a pivotal structure). In this talk\, I will illustrate how the usual skein theory (also called string nets) of a pivotal tensor category can be generalized to the twisted pivotal setting\, yielding new 2d oriented TQFTs. This is joint work with Ben Haioun and Filippos Sytilidis.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_21926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-2.19.26-scaled.png
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