The Net Advance of Physics:
HODGE THEORY
General:
New Results in Topological Field Theory and Abelian Gauge Theory
by George Thompson [1995/11] See page 18.
Undergraduate Lecture Notes in De Rham-Hodge Theory
by Vladimir G. Ivancevic and Tijana T. Ivancevic [2008/07]
Undergraduate Lecture Notes in Topological Quantum Field Theory
by Vladimir G. Ivancevic and Tijana T. Ivancevic [2008/10]
The Hodge Theory of maps (Lectures 4 and 5)
by Mark Andrea A. de Cataldo [2010/06]
An Introduction to Hodge Structures
by Sara Angela Filippini et al. [2014/12]
A young person's guide to mixed Hodge modules
by Morihiko Saito [2016/05]
Type: NON-ABELIAN:
Introduction to Nonabelian Hodge Theory: flat connections, Higgs bundles and complex variations of Hodge structure
by Alberto Garcia-Raboso and Steven Rayan [2014/06]
Type: P-ADIC:
Hodge theory of p-adic varieties: A survey
by W. Nizioł [2020/05]
THE NET ADVANCE OF PHYSICS