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We provide a natural interpretation of the secondary Euler characteristic and generalize it to higher Euler characteristics. For a compact oriented manifold of odd dimension, the
secondary Euler char...
A recurrent formula is presented, for the enumeration of the compositions of positive integers as sums over multisets of positive integers, that closely resembles Euler’s recurrence based on the penta...
Equivariant Euler characteristics and sheaf resolvents
Equivariant Euler characteristics sheaf resolvents
2010/11/29
For certain tame abelian covers of arithmetic surfaces X/Y we obtain striking formulas, involving a quadratic form derived from intersection numbers/
Derived Resolution Property for Stacks, Euler Classes and Applications
Derived Resolution Property for Stacks Euler Classes Applications
2010/12/13
By resolving any perfect derived object over a Deligne-Mumford stack, we define its Euler class. We then apply it to define the Euler numbers for a smooth Calabi-Yau threefold in P4. These numbers are...
The norm of the Euler class
norm Euler class
2010/12/6
We prove that the norm of the Euler class E for flat vector bundles is 2−n (in even dimension n, since it vanishes in odd dimension). This shows that the Sullivan–Smillie bound considered by Gro...