A topological invariant of flows on 1-dimensional spaces
โ Scribed by Bill Parry; Dennis Sullivan
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 237 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0040-9383
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๐ SIMILAR VOLUMES
Under homotopically non-trivial gauge transformations, ci,,, with winding number n, the action, I, for topologically massive Yang-Mills theory changes by 2nn: I-+ I + 2nn. Equivalently, Gauss' law requires the physical states vl,,,[A] to change by a phase under time-independent gauge transformations
Two types of fundamental spaces of differential forms on infinite dimensional topological vector spaces are considered; one is a fundamental space of Hida's type and the other is one of Malliavin's. It is proven that the former space is smaller than the latter. Moreover, it is shown that, under some