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Genus of a multiplicative sequence information


A cobordism (W; M, N).

In 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 manifold with boundary (i.e., up to suitable cobordism) to another ring, usually the rational numbers, having the property that they are constructed from a sequence of polynomials in characteristic classes that arise as coefficients in formal power series with good multiplicative properties.

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Genus of a multiplicative sequence

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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...

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Multiplicative sequence

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

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Todd class

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

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Hirzebruch signature theorem

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

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Graph property

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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...

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Torus

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doughnut are both topological tori with genus one. An example of a torus can be constructed by taking a rectangular strip of flexible material such as rubber...

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Victor Buchstaber

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

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2

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Integer Sequences. OEIS Foundation. Retrieved 2022-12-05. Sloane, N. J. A. (ed.). "Sequence A001359 (Lesser of twin primes.)". The On-Line Encyclopedia of Integer...

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Prime number

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

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List of algebraic geometry topics

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

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5

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properties of interest: whether the algebras are ordered, and whether they hold commutative, associative, alternative, and power-associative multiplicative properties...

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Retrovirus

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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...

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Meliponiculture

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disks. The sequence of figures illustrates the steps involved in dividing a colony of uruçu-boca-de-renda (M. seminigra), highlighting the use of the minimum...

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Chaetogaster

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

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Group scheme

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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...

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Mycoplasma

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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...

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Cohomology

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

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Hippeastrum

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Hippeastrum (/ˌhɪpiːˈæstrəm/) is a genus of about 90 species, and over 600 hybrids and cultivars, of perennial, herbaceous and bulbous plants, native...

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8

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number with a prime aliquot sum of 7 (1 + 2 + 4) that is part of the aliquot sequence (8, 7, 1, 0). 8 is the first number to be the aliquot sum of two numbers:...

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Hybrid name

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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...

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Tulip

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

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Streptococcus pyogenes

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

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