Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$

F. Qu; Y.-P. Lee

Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$

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arxiv 1211.2450 v1 pith:ZBXQYPTS submitted 2012-11-11 math.AG

Y.-P. Lee , F. Qu This is my paper · ORCID

classification math.AG

keywords mbarcharacteristicseulergiveotimesadditionalgorithmbundles

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abstract

We give an effective algorithm to compute the Euler characteristics $\chi(\mbar_{1,n}, \otimes_{i=1}^n L_i^{d_i})$. In addition, we give a simple proof of Pandharipande's vanishing theorem $H^j (\mbar_{0,n}, \otimes_{i=1}^n L_i^{d_i})=0$ for $j \ge 1, d_i \ge0$.

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A reconstruction theorem expresses genus-one permutation-equivariant quantum K-invariants of any compact Kähler manifold in terms of genus-zero data and residues.

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