论文标题

迈向$ h_ \ ast的最小模型(\ overline {\ mathcal {m}})$

Toward a minimal model for $H_\ast(\overline{\mathcal{M}})$

论文作者

Ward, Ben C.

论文摘要

模块化的$ h_ \ ast(\ overline {\ Mathcal {m}} _ {g,n})$ deligne-mumford compactification的同源性模量尖端的riemann表面模量空间的同源性具有最小的模型空间上的高级同事操作,该模型最少$ h_ \ ast(\ Mathcal {m} _ {g,n})$。利用Getzler的椭圆关系,我们对如此高的运营的第一家族进行了明确的结构。

The modular operad $H_\ast(\overline{\mathcal{M}}_{g,n})$ of the homology of Deligne-Mumford compactifications of moduli spaces of pointed Riemann surfaces has a minimal model governed by higher homology operations on the open moduli spaces $H_\ast(\mathcal{M}_{g,n})$. Using Getzler's elliptic relation, we give an explicit construction of the first family of such higher operations.

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