Schreiber Equivariant Stable Cohomotopy and Branes

A couple of talks that I gave in 2018:

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• Urs Schreiber:

  
  

  Equivariant Stable Cohomotopy and Branes

  
  

  talks at:

  Geometry, Topology & Physics,

  NYU Abu Dhabi (October 2018)

  
  

  slides: part I pdf, part II pdf

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Abstract. Part I reviews the derivation of M-brane charge in equivariant cohomotopy, and explains how bringing in anti-M-branes should enhance this to equivariant stable cohomotopy. Part II presents computations of putative M-brane charge in equivariant stable cohomotopy and comparison to the folklore of perturbative string theory.

Related talks:

• Equivariant Cohomotopy and Branes (talk at String and M-Theory: The New Geometry of the 21st Century Singapore 2018)

• Equivariant cohomology of M2/M5-branes (talk at Seminar on Higher Structures in the Program on Higher Structures in Geometry and Physics, MPI Bonn, 15 Jan 2016)

• Super p-Brane Theory emerging from Super Homotopy Theory (talk at StringMath2017)

• Super topological T-Duality (talk at Duality in Homotopy theory 2017)

• Super Lie n-algebra of Super p-branes (talk at TQFT Seminar Lisbon, 2017 alongside Iberian Strings 2017)

• Structured Homotopy Theory and String Theory (talk at Geometry, Topology & Physics, April 2018)

• Introduction to Higher Supergeometry (talk at Higher structures in M-theory, 2018)

Lecture notes:

• From the Superpoint to T-Folds

• geometry of physics – fundamental super p-branes

Related articles:

• Super Lie n-algebra extensions, higher WZW models and super p-branes

• The WZW term of the M5-brane

• Rational sphere valued supercocycles in M-theory

• T-Duality from super Lie n-algebra cocycles for super p-branes

• Higher T-duality of super M-branes

• M-Theory from the Superpoint

• Equivariant homotopy and super M-branes

• Gauge enhancement of Super M-Branes

• The rational higher structure of M-theory

• Twisted Cohomotopy implies M-theory anomaly cancellation