proposition 106.81 The topological charge is an integer

open in the book · parts/11-qft-standard-model/08-path-integral-quantization.tex:3820 · p. 2197

Rests on

depends_on equation 14.155 eq:lie-trform ¶
depends_on equation 106.91 eq:pathint-winding ¶
depends_on theorem 14.111 Chern–Weil ¶
- depends_on equation 14.142 eq:lie-bianchi ¶
- depends_on equation 14.139 eq:lie-curvature ¶
- depends_on theorem 14.110 thm:lie-invpoly ¶
  - depends_on definition 14.109 $G$-invariant polynomial ¶
    - depends_on equation 14.144 eq:lie-invpol-linear ¶
    - depends_on equation 14.145 eq:lie-invpol-symm ¶
  - depends_on equation 14.5 eq:lie-structconst ¶
    - step_from equation 14.4 eq:lie-gengrlie ¶
      - step_from equation 14.3 eq:lie-generators ¶
      - step_from equation 14.2 eq:lie-varincor ¶
  - proves proof ch:12-lie-groups-fibre-bundles@proof-45 ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-46 ¶
proves proof ch:08-path-integral-quantization@proof-55 ¶

Supports

depends_on proposition 106.83 The vacuum is a superposition of winding sectors ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	eq:lie-trform	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3833
`depends_on`	→	eq:pathint-winding	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3833
`depends_on`	→	Chern–Weil	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3833
`depends_on`	←	The vacuum is a superposition of winding sectors	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3937
`proves`	←	ch:08-path-integral-quantization@proof-55	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3836