Where can I find good references about the neuronal connections in various areas in the cortex? As an example, I would like to know which Brodmann areas innervate the layer IV of area 10 in the brain.

To which degree are these connections known? What are good books or other kinds of resources that provide information about this, perhaps in a tabular form?
Diffusion tensor imaging (DTI for short) may be the technique you are after. It is able to record nerve fibers in MRI images. I couldn't find the specifics you were after,  and the subdivision into layers may outrun the resolution of MRI, but it may  be a good start. Two references that may get you going on tensor imaging are cited below. Additional, targeted electrophysiological papers on  your area of interest may provide layer-specific connections. 

References
- Aggarwal et  al., Neuroimage (2015); 105: 198–207
- Christoph  et  al., Cereb Cortex (2014); 24(2): 328–39