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|a Non-semisimple extended topological quantum field theories
|f Marco De Renzi
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|a Providence (R.I.)
|c American Mathematical Society
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|d C 2022
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|a 1 vol. (XI-161 p.)
|c fig.
|d 26 cm
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|a Memoirs of the American Mathematical Society
|x 0065-9266
|v Number 1364
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| 300 |
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|a "May 2022, volume 277, number 1364 (fifth of 6 numbers)."
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|a Bibliogr. p. 159-161
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|b Preface
|c Main results
|c Where to find a quantum invariant and a TQFT inside an ETQFT
|c Outline of the construction
|c Structure of the exposition
|b Chapter 1. Relative modular categories
|c 1.1 Pivotal and ribbon linear categories
|c 1.2 Group structures and ribbon graphs
|c 1.3 Group actions and group realizations
|c 1.4 Projective traces and ambidextrous objects
|c 1.5 Relative pre-modular categories
|c 1.6 Main definition
|c 1.7 Relation with semisimple theory
|b Chapter 2. Admissible cobordisms
|c 2.1 Group colourings
|c 2.2 2-Category of decorated cobordisms
|c 2.3 2-Category of admissible cobordisms
|b Chapter 3. Extension of Constantino-Geer-Patureau invariants
|c 3.1 Projective and generic stabilizations
|c 3.2 Constantino-Geer-Patureau invariants
|c 3.3 Universal construction
|c 3.4 Extended universal construction
|b Chapter 4. Combinatorial and topological properties
|c 4.1 Skein equivalence
|c 4.2 Surgery axioms
|c 4.3 Connection, domination, triviality
|b Chapter 5. Graded extensions
|c 5.1 2-Spheres
|c 5.2 3-Discs
|c 5.3 3-Pants
|c 5.4 Graded extended universal construction
|b Chapter 6. Symmetric monoidality
|c 6.1 Graded ETQFT
|c 6.2 Graded TQFT
|b Chapter 7. Characterization of the image
|c 7.1 1-Spheres
|c 7.2 2-Discs
|c 7.3 2-Pants
|c 7.4 2-Cylinders
|c 7.5 Examples of computations
|b Appendix A. Unrolled quantum groups
|c A.1 Even roots of unity
|c A.2 Odd roots of unity
|b Appendix B. Manifolds and cobordisms with corners
|c B.1 Manifolds with corners
|c B.2 Collars
|c B.3 Gluing
|c B.4 Cobordisms with corners
|b Appendix C. Signature defects
|c C.1 Intersection pairings
|c C.2 Lagrangian subspaces
|c C.3 Maslov indices
|b Appendix D. Symmetric monoidal 2-categories
|c D.1 2-Categories
|c D.2 Symmetric monoidal structures
|b Appendix E. Complete linear and graded linear categories
|c E.1 Linear and graded linear categories
|c E.2 Complete linear categories
|c E.3 Complete graded linear categories
|c E.4 Proofs
|b Bibliography
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|0 013293931
|t Memoirs of the American Mathematical Society
|x 0065-9266
|v 1364
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| 606 |
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|3 PPN033067961
|a Groupes quantiques
|2 rameau
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| 606 |
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|3 PPN027720012
|a Topologie algébrique
|2 rameau
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| 606 |
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|3 PPN031407129
|a Champs, Théorie quantique relativiste des
|2 rameau
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| 680 |
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|a QA3
|b .A57 no.1364
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| 686 |
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|a 57R56
|c 2020
|2 msc
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| 686 |
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|a 18D10
|c 2020
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|3 PPN233470700
|a De Renzi
|b Marco
|f 1988-....
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|a FR
|b Abes
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|a 944082
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