Adams Spectral Sequence Computation and Patterns
Explore the Adams spectral sequence computation and patterns, including differential structures and factor representations of 2. Dive into Mahowald-Tangora-Kochman and Nakamura-Tangora computations, Adams-Novikov spectral sequence, and more. Visualize the intricate relationships and arrangements within these mathematical structures.
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Presentation Transcript
Adams spectral sequence ???? ?, ?,?( ? ?) ?? ? ? ? ?? ? 1
Adams spectral sequence ???? ?, ?,?( ? ?) ?? ? ? ? ?? ? -Many differentials -?? differentials go back by 1 and up by r 2
Adams spectral sequence ???? ?, ?,?( ? ?) ?? ? ? ? ?? ? -Many differentials -?? differentials go back by 1 and up by r 3
Adams spectral sequence ???? ?, ?,?( ? ?) ?? ? ? ? ?? ? 4
Adams spectral sequence ???? ?, ?,?( ? ?) ?? ? ? ? ?? ? 5
Computation: Mahowald-Tangora-Kochman Picture: A. Hatcher Each dot represents a factor of 2, vertical lines indicate additive extensions e.g.: (?3 Vertical arrangement of dots is arbitrary, but meant to suggest patterns ?)(2)= 8, ?)(2)= 2 2 (?8 6
Each dot represents a factor of 2, vertical lines indicate additive extensions e.g.: (?3 Vertical arrangement of dots is arbitrary, but meant to suggest patterns ?)(2)= 8, ?)(2)= 2 2 (?8 7
Computation: Nakamura -Tangora Picture: A. Hatcher 9
Adams spectral sequence ???? ?, ?,?( ? ?) ?? ? ? ? ?? ? 13
