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Joined 2026-09-21 Message
Incoming links: Dennis Sullivan
Dennis Sullivan 2026-11-05
Dennis Sullivan developed algebraic methods for topology, particularly rational homotopy theory. His Sullivan minimal model replaces a space's differential-form information by a controlled differential graded algebra.[ref]
Infinitesimal computations in topology by Dennis Sullivan. Original byline, introduction and sections 2 and 5
Generators are added to represent missing cohomology classes and impose necessary relations. Under the theory's hypotheses, the model records rational homotopy information that ordinary cohomology alone can miss. This makes nonlinear questions about spaces accessible through algebra while retaining more structure than a list of Betti numbers.[ref]
By Dennis Sullivan. Publications Mathématiques de l’IHÉS47,269–331. DOI: doi.org/10.1007/BF02684341
Author-hosted primary scan: www.math.stonybrook.edu/~dennis/publications/PDF/DS-pub-0039.pdf
§§2,5 and10 develop minimal differential algebras, minimal models and their relation to rational homotopy.