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The rational homotopy type of the complement of the graph of a map

Research paper by Angom Tiken Singh, Himadri Kumar Mukerjee

Indexed on: 16 Aug '16Published on: 01 Jun '16Published in: Journal of Homotopy and Related Structures



Abstract

Abstract We prove that the rational homotopy type of the complement of the graph of a continuous map from a simply connected closed manifold to a 2-connected closed manifold of the same dimension depends only on the rational homotopy class of the map. We give a commutative differential graded algebra model (in the sense of Sullivan) of the complement of the graph and study its formality.AbstractWe prove that the rational homotopy type of the complement of the graph of a continuous map from a simply connected closed manifold to a 2-connected closed manifold of the same dimension depends only on the rational homotopy class of the map. We give a commutative differential graded algebra model (in the sense of Sullivan) of the complement of the graph and study its formality.