 Quillen determinant line bundle

The Quillen determinant line bundle is a mathematical construction in the field of differential geometry and algebraic topology, particularly in the study of moduli spaces of complex structures and spectral sequences. It arises in the context of the study of vector bundles and their determinants, particularly in relation to complex geometry and in the theory of families of holomorphic structures. In more concrete terms, the Quillen determinant line bundle is associated with the determinants of the spaces of sections of families of holomorphic vector bundles.