منابع مشابه
Teichmüller spaces, triangle groups and Grothendieck dessins
This survey article considers moduli of algebraic curves using techniques from the complex analytic Teichmüller theory of deformations for the underlying Riemann surfaces and combinatorial topology of surfaces. The aim is to provide a readable narrative, suitable for people with a little background in complex analysis, hyperbolic plane geometry and discrete groups, who wish to understand the in...
متن کاملD-Branes, Derived Categories, and Grothendieck Groups
In this paper we describe how Grothendieck groups of coherent sheaves and locally free sheaves can be used to describe type II D-branes, in the case that all D-branes are wrapped on complex varieties and all connections are holomorphic. Our proposal is in the same spirit as recent discussions of K-theory and D-branes; within the restricted class mentioned, Grothendieck groups encode a choice of...
متن کاملOn 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 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: Transactions of the American Mathematical Society
سال: 1969
ISSN: 0002-9947
DOI: 10.2307/1994702