Cel The long-term objective of the project is to classify low-dimensional objects up to some evaluation of their complexity. This will lead to a deeper understanding of the strange and mysterious world of low-dimensions and will serve as a source of new ideas. A table of 3-manifolds up to complexity 8 and to analyse it, will be created. It is known that all closed orientable 3-manifolds up to this complexity are graph manifolds, and the problem consists in organizing them into natural series. This is the task for the Chelyabinsk team. The report covering this period will aim to include the table of 3-manifolds up to complexity 8 and contain a detailed description of manifolds via special spines, framed links and Seifert invariants. Each manifold should be supplied with information on homology groups, Heegaard genus, fundamental group and with specific additional information.The third year will be devoted to a joint analysis and summing up the computer results and those of theoretical investigations. The results will be discussed at a conference of all the participants in one of the participating countries. The final report will contain a detailed description of all results, including those of the computer enumeration, the computer programs and a list of publications related to the project. Program(-y) IC-INTAS - International Association for the promotion of cooperation with scientists from the independent states of the former Soviet Union (INTAS), 1993- Temat(-y) 21 - Mathematics Zaproszenie do składania wniosków Data not available System finansowania Data not available Koordynator Johann Wolfgang Goethe-Universität Frankfurt Wkład UE Brak danych Adres Robert-Mayer Straße 6-10 60054 Frankfurt am Main Niemcy Zobacz na mapie Koszt całkowity Brak danych Uczestnicy (3) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko Chelyabinsk State University Rosja Wkład UE Brak danych Adres 454136 Chelyabinsk Zobacz na mapie Koszt całkowity Brak danych HERIOT-WATT UNIVERSITY Zjednoczone Królestwo Wkład UE Brak danych Adres Riccarton EH14 4AS EDINBURGH Zobacz na mapie Koszt całkowity Brak danych National Academy of Sciences of Ukraine Ukraina Wkład UE Brak danych Adres 252601 Kiev Zobacz na mapie Koszt całkowity Brak danych
