Analytic torsion of ℤ₂-graded elliptic complexes
Analytic torsion of ℤ₂-graded elliptic complexes
We define analytic torsion of Z_2-graded elliptic complexes as an element in the graded determinant line of the cohomology of the complex, generalizing most of the variants of Ray-Singer analytic torsion in the literature. It applies to a myriad of new examples, including flat superconnection complexes, twisted analytic and twisted …