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

Yuan-Pin Lee Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112 Feng Qu Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112

Algebraic Geometry mathscidoc:2204.45011

2012.11
We give an effective algorithm to compute the Euler characteristics χ(\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≥1,di≥0.
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@inproceedings{yuan-pin2012euler,
  title={Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$},
  author={Yuan-Pin Lee, and Feng Qu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415111819408242029},
  year={2012},
}
Yuan-Pin Lee, and Feng Qu. Euler characteristics of universal cotangent line bundles on $\mbar_{1,n}$. 2012. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415111819408242029.
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