β-FAMILY CONGRUENCES AND THE f-INVARIANT
نویسنده
چکیده
In previous work, the authors have each introduced methods for studying the 2-line of the p-local Adams-Novikov spectral sequence in terms of the arithmetic of modular forms. We give the precise relationship between the congruences of modular forms introduced by the first author with the Qspectrum and the f -invariant of the second author. This relationship enables us to refine the target group of the f -invariant in a way which makes it more manageable for computations.
منابع مشابه
Se p 20 09 On the f - invariant of products
The f -invariant is a higher version of the e-invariant that takes values in the divided congruences between modular forms; in the situation of a cartesian product of two framed manifolds, the f -invariant can actually be computed from the e-invariants of the factors. The purpose of this note is to determine the f -invariant of all such products.
متن کاملA NOVEL STUDY ON FUZZY CONGRUENCES ON n-ARY SEMIGROUPS
In this paper, we introduce the concept of fuzzy congruences on n-ary semigroups and describe quotient n-ary semigroups by fuzzy congruences. Some isomorphism theorems about n-ary semigroups are established. Moreover, we discuss a special kind of n-ary semigroups. We also establish relationships between normal fuzzy ideals and fuzzy congruences. In particular, we prove that there exists a prese...
متن کاملA ug 2 00 8 On the geometry of the f - invariant Hanno
The f -invariant is a higher version of the e-invariant that takes values in the divided congruences between modular forms; it can be formulated as an elliptic genus of manifolds with corners of codimension two. In this thesis, we develop a geometrical interpretation of the f invariant in terms of index theory, thereby providing an analytical link between the stable homotopy groups of the spher...
متن کاملSe p 20 09 On the geometry of the f - invariant Hanno
The f -invariant is a higher version of the e-invariant that takes values in the divided congruences between modular forms; it can be formulated as an elliptic genus of manifolds with corners of codimension two. In this thesis, we develop a geometrical interpretation of the f invariant in terms of index theory, thereby providing an analytical link between the stable homotopy groups of the spher...
متن کاملCommutator Theory for Compatible Uniformities
We investigate commutator operations on compatible uniformities. We define a commutator operation for uniformities in the congruence-modular case which extends the commutator on congruences, and explore its properties. Introduction The purpose of this paper is to generalize the commutator of congruences to a commutator of compatible uniformities. Commutator theory (on congruences) works best fo...
متن کامل