| 21. | Orientable surfaces can be visualized, and their diffeomorphism classes enumerated, by genus.
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| 22. | Unfortunately, this theory is not diffeomorphism covariant.
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| 23. | Composing these diffeomorphisms gives a diffeomorphism carrying the smooth curve onto the unit circle.
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| 24. | In that case one of the homeomorphisms can be chosen to be a diffeomorphism.
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| 25. | On the other hand, the right hand side is imdependent of the diffeomorphism.
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| 26. | A diffeomorphism between two symplectic manifolds which preserves the symplectic form is called a symplectomorphism.
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| 27. | To handle the spatial diffeomorphism constraint we need to go over to the loop representation.
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| 28. | The spatial diffeomorphism constraint has been solved.
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| 29. | Both gauge invariance and diffeomorphism invariance reflect a redundancy in the description of the system.
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| 30. | This means that one cannot just solve the spatial diffeomorphism constraint and then the Hamiltonian constraint.
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