Bivariant algebraic cobordism
Bivariant algebraic cobordism
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双变代数共边
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
K. Karu
中科院分区：
文献类型：
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作者：
Jos'e Luis Gonz'alez;K. Karu
我们将一个双变理论关联到任何合适的面向Borel-Moore同调理论的代数计划或代数G-计划的范畴。应用这一理论的代数配边产生的运算配边环和运算G-等变配边环的所有计划在这些类别。在复曲面簇的情况下，运算T-等变配边环可以描述为系数在Lazard环中的扇形上的分段分次幂级数的环。
We associate a bivariant theory to any suitable oriented Borel-Moore homology theory on the category of algebraic schemes or the category of algebraic G-schemes. Applying this to the theory of algebraic cobordism yields operational cobordism rings and operational G-equivariant cobordism rings associated to all schemes in these categories. In the case of toric varieties, the operational T-equivariant cobordism ring may be described as the ring of piecewise graded power series on the fan with coefficients in the Lazard ring.