منابع مشابه
On the Grothendieck groups of toric stacks
In this note, we prove that the Grothendieck group of a smooth complete toric Deligne-Mumford stack is torsion free. This statement holds when the generic point is stacky. We also construct an example of open toric stack with torsion in K-theory. This is a part of the author’s Ph.D thesis. A similar result has been proved by Goldin, Harada, Holm, Kimura and Knutson in [GHHKK] using symplectic m...
متن کاملGrothendieck Groups of Poisson Vector Bundles
A new invariant of Poisson manifolds, a Poisson K-ring, is introduced. Hypothetically, this invariant is more tractable than such invariants as Poisson (co)homology. A version of this invariant is also defined for arbitrary algebroids. Basic properties of the Poisson K-ring are proved and the Poisson K-rings are calculated for a number of examples. In particular, for the zero Poisson structure ...
متن کاملGrothendieck Groups of Complexes with Null-homotopies
This paper is an addendum to [FH]. We reprove the main theorem of that paper by using Grothendieck groups of modules over certain DGAs. While the changes to the argument in [FH] are largely cosmetic, our approach shortens the proof from 25 pages down to 10 and greatly clarifies the overall structure. The authors of [FH] describe their proof as both “tedious” and “cumbersome”, whereas the approa...
متن کاملGrothendieck Groups of Abelian Group Rings
Let R be a noetherian ring, and G(R) the Grothendieck group of finitely generated modules over R. For a finite abelian group n, we describe G(Rn) as the direct sum of groups G(R’). Each R’ is the form RI<,,, I/n], where n is a positive integer and Cn a primitive nth root of unity. As an application, we describe the structure of the Grothendieck group of pairs (H. u), where His an abelian group ...
متن کاملHolonomy Quantization of Moduli Spaces & Grothendieck Groups
Gelfand’s [1] charecterization of a topological space M by the duality relationship of M and A = F(M), the commutative algebra of functions on this space has deep implications including the development of spectral calculas by Connes [2].We investigate this scheme in this paper in the context of Monopole Moduli Space M using Seiberg-Witten Equations [3].A observation has been made here that the ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1992
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(05)80055-9