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**7**

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**3**answers

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### on chern classes and Riemann Roch theorem for torsion-free sheaves on singular (possibly multiple) curve

I'm looking for a definition of Chern class (at least the first one) for a torsion-free sheaf $F$ (not necessarily locally free) on a singular curve (for simplicity can assume all the singularities ...

**4**

votes

**1**answer

242 views

### Does the non-commutative Chern class depend on the choice of connection?

In classical geometry the calculation of the Chern classes of a vector bundle using a connection is independent of the choice of connection. Does any such result hold for projective modules in ...