The Dyer-Lashof algebra and the $\Lambda$-algebra
نویسندگان
چکیده
منابع مشابه
Split Dual Dyer-Lashof Operations
For each admissible monomial of Dyer-Lashof operations QI , we define a corresponding natural function Q̂I :TH̄∗(X) → H ∗(ΩnΣnX), called a Dyer-Lashof splitting. For every homogeneous class x in H∗(X), a Dyer-Lashof splitting Q̂I determines a canonical element y in H∗(ΩnΣnX) so that y is connected to x by the dual homomorphism to the operation QI . The sum of the images of all the admissible Dyer-...
متن کاملThe Aluffi Algebra and Linearity Condition
The Aluffi algebra is an algebraic version of characteristic cycles in intersection theory which is an intermediate graded algebra between the symmetric algebra (naive blowup) and the Rees algebra (blowup). Let R be a commutative Noetherian ring and J ⊂I ideals of R. We say that J ⊂I satisfy linearity condition if the Aluffi algebra of I/J is isomorphic with the symmetric algebra. In this pa...
متن کاملDyer-Lashof-Cohen operations in Hochschild cohomology
In the paper we give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristics is always a restricted Lie algebra.
متن کاملPeriodicity in the Periodic Lambda Algebra
The periodic lambda algebra is a co-Koszul complex of the Steenrod algebra whose homology gives the E2 term for the Adams spectral sequence. Its elements are closely related to periodic homotopy theory, and exhibit periodic properties. In this paper we discuss an algorithm to compute the homology of the periodic lambda algebra, and investigate the algebraic structure for the E2 page of the vn p...
متن کاملDYER-LASHOF OPERATIONS IN if-THEORY
Dyer-Lashof operations were first introduced by Araki and Kudo in [1] in order to calculate ü*(QS+; Z2). These operations were later used by Dyer and Lashof to determine H*(QY;ZP) as a functor of H*(Y;ZP) [5], where QY = | J n H n E n y . This has had many important applications. Hodgkin and Snaith independently defined a single secondary operation in if-homology (for p odd and p = 2 respective...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1975
ISSN: 0019-2082
DOI: 10.1215/ijm/1256050812