mathematics, a genus of a multiplicative sequence is a ring homomorphism from the ring of smooth compact manifolds up to the equivalence of bounding a smooth...

In mathematics, a multiplicative sequence or m-sequence is a sequence of polynomials associated with a formal group structure. They have application in...

Genus (mathematics), a classifying property of a mathematical object Genus of a multiplicative sequence Geometric genus In graph embedding, the genus...

Group (mathematics) Arithmetic genus Geometric genus Genus of a multiplicative sequence Genus of a quadratic form Spinor genus Popescu-Pampu 2016, p. xiii...

character. Genus of a multiplicative sequence Intersection Theory Class 18, by Ravi Vakil Todd, J. A. (1937), "The Arithmetical Invariants of Algebraic...

connected manifold with a spin structure is divisible by 16. Hirzebruch signature theorem Genus of a multiplicative sequence Rokhlin's theorem Hatcher...

proof of the Hirzebruch–Riemann–Roch theorem. The L-genus is the genus for the multiplicative sequence of polynomials associated to the characteristic power...

Linear algebraic group Additive group Multiplicative group Algebraic torus Reductive group Borel subgroup Radical of an algebraic group Unipotent radical...

number of vertices is additive. A graph invariant is multiplicative if, for all two graphs G and H, the value of the invariant on the disjoint union of G and...

and multiplication: a + b = b + a, and a ⋅ b = b ⋅ a. Additive and multiplicative identity: there exist two distinct elements 0 and 1 in F such that a +...

this sequence starts this way, then g {\displaystyle g} must be zero. The next case is a Riemann surface of genus g = 1 {\displaystyle g=1} , such as a torus...

D(A) can be formed as the spectrum of a group ring. More generally, one can form groups of multiplicative type by letting A be a non-constant sheaf of abelian...

Friderici Gauss". Gaussia, a genus of copepods Gaussian, a computational chemistry software program GAUSS[citation needed], a matrix programming language...

Lm → 0 of a product of groups Ri by the multiplicative group Gm of the underlying field. The product runs over the points Pi in the support of m, and...

sequence studies, its closest relationship is with the genus Amphichaeta of the same subfamily. Nowadays, nine valid species are placed in the genus Chaetogaster...

a torus is any topological space that is homeomorphic to a torus. The surface of a coffee cup and a doughnut are both topological tori with genus one...

_{S'/R'}.} As a particular case of this, Kähler differentials are compatible with localizations, meaning that if W is a multiplicative set in S, then...

depend on X and Y only. In fact, since the Todd genus is functorial and multiplicative in exact sequences, we can rewrite the Grothendieck–Riemann–Roch...

from the multiplicative group of the field to a totally ordered additive group, also called orders), absolute values (certain multiplicative mappings...

Tulipa genus. Their flowers are usually large, showy, and brightly coloured, generally red, orange, pink, yellow, or white. They often have a different...

first. If a non-alphabetical sequence is used, its basis should be clearly indicated." (H.2A.1) Grex names can be given to orchid hybrids. A hybrid name...

the other hand, is a short unique sequence between R and PBS. PBS (primer binding site) consists of 18 bases complementary to 3' end of tRNA primer. L region...

Luciano, Categories of multiplicative functors and Weil's infinitely near points, Nagoya Math. J. 109 (1988), 69–89 (online here) for a full discussion....

In mathematics, a stella octangula number is a figurate number based on the stella octangula, of the form n(2n2 − 1). The sequence of stella octangula...

Mycoplasma is a genus of bacteria that, like the other members of the class Mollicutes, lack a cell wall, and its peptidoglycan, around their cell membrane...

cohomology is a general term for a sequence of abelian groups, usually one associated with a topological space, often defined from a cochain complex...

0.} This sequence is derived from the short exact sequence relating the structure sheaves of X and D and the ideal sheaf of D. Because D is a Cartier divisor...

pyogenes is a species of Gram-positive, aerotolerant bacteria in the genus Streptococcus. These bacteria are extracellular, and made up of non-motile and...

on a hyperelliptic curve of genus g {\displaystyle g} . Further information on the gaps comes from applying Clifford's theorem. Multiplication of functions...

Atiyah-Hirzebruch spectral sequence in K-theory and complex cobordism theory, constructed Chern-Dold characters and the universal Todd genus in cobordism, and...