Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Artículo científico |
| Lingua: | en |
| Pubblicazione: |
Academia Brasileira de Ciências
2001
|
| Soggetti: | |
| Accesso online: | https://www.redalyc.org/articulo.oa?id=32773201 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
Sommario:
- Lefschetz-Pontrjagin Duality for Differential Characters Reese Harvey Blaine Lawson Multidisciplinaria (Ciencias Naturales y Exactas) deRham theory Lefschetz duality Differential characters A theory of differential characters is developed for manifolds with boundary. This is done fromboth the Cheeger-Simons and the deRham-Federer viewpoints. The central result of the paperis the formulation and proof of a Lefschetz-Pontrjagin Duality Theorem, which asserts that thepairingHk(X, ∂X) × Hn−k−1(X) −→ S1given by (α, β) → (α * β) [X] induces isomorphismsD : Hk(X, ∂X) → Hom∞(Hn−k−1(X), S1)D : Hn−k−1(X) → Hom∞(Hk(X, ∂X), S1)onto the smooth Pontrjagin duals. In particular, D and D are injective with dense range in thegroup of all continuous homomorphisms into the circle. A coboundary map is introduced whichyields a long sequence for the character groups associated to the pair (X, ∂X). The relation of thesequence to the duality mappings is analyzed. 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773201 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.2 Vol.73