On the $K$-theory of smooth toric DM stacks

By L. Borisov, R. P. Horja. 2005

57 citations recorded by the source corpus.

We explicitly calculate the Grothendieck $K$-theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate $K$-theory pushforwards and pullbacks for weighted blowups of reduced smooth toric DM stacks.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/8612a82eea0bf5276b5a3250c0ad38cc655bc882

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. H. Iritani
2. Z. Hua
3. L. Borisov

In Computational Theory and Mathematics

1. H. Iritani
2. Z. Hua
3. L. Borisov

In Discrete Mathematics and Combinatorics

1. H. Iritani
2. Z. Hua
3. L. Borisov
4. Bumsig Kim
5. Ionut Ciocan-Fontanine
6. Tom Coates

Citations in the corpus

• On the conjecture of King for smooth toric Deligne-Mumford stacks (2008, background): “This yields a long exact sequence of sheaves on PΣ (see also [3]), which after twisting by L becomes”
• Quantum Cohomology and Periods (2011, background): “The last statement follows from the fact that K(X ) is generated by line bundles [10] and the monodromy formula”