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Rational homotopy theory: a brief introduction
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These notes contain a brief introduction to rational homotopy theory: its model category foundations, the Sullivan model and interactions with the theory of local commutative rings.
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Cited by 3 Pith papers
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Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory
Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.
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Higher Gauge Theory via Differential Nonabelian Cohomology
Higher gauge fields receive a global infrared completion by electromagnetic flux quantization in differential nonabelian cohomology using cohesive homotopy theory, with applications to brane charges in K-theory and Co...
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Boundary framings for locally conformally symplectic four-manifolds
The paper proposes a rational homotopy model for a classifying space of locally conformally symplectic four-manifolds and a cobordism category of three-manifolds with Omega^2 S^2-bundle framings, but the standalone te...
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