Began to write referee responses.

1 files changed, 20 insertions, 1 deletions

diff --git a/referee_response.md b/referee_response.md
index 51e7f85..b58e21c 100644
--- a/referee_response.md
+++ b/referee_response.md
@@ -1,5 +1,24 @@
 # Report #1
 
-
+ * We fixed this typo.
+ * The question of limits is a shrewd one, but ultimately the result is the same no matter how the calculation is done. Working directly at *M* = 1, the steps in the appendices are followed up to equation (28). With *M* = 1 and *V*₀² = *N**E*, the second term in the exponential remains of order *N* but the second is of order 1 and becomes another contribution to the prefactor. Comparing the resulting expression with (41) in the limit of α to zero with *V*₀² = *E*²/α, the two approaches result in the same effective action. In fact, an earlier version of this manuscript included two derivations, but the one for *M* of order 1 was deemed redundant in light of this. A note about this point has been added to the amended manuscript.
+ * We agree, and further emphasized this in the amended manuscript.
 
 # Report #2
+
+ 1. Ok, complex m^* solutions
+ 2.
+ 3.
+ 4. Maybe??
+
+# Report #3
+
+ 1. Ok
+ 2. Ok
+ 3. Ok
+   * The referee is wrong to say that the Euler characteristic of a hypersphere is 2 independent of dimension. The Euler characteristic of all odd-dimensional manifolds is zero. Consider the cell complex on *S*₁ [pictured here](https://kent-dobias.com/files/S_1.png). The Euler characteristic calculated using the alternating sum over the number of cells of increasing dimension is χ(*S*₁) = 1 – 1 = 0.
+   * Ok
+ 4. Ok
+   * Ok - discuss planting in manuscript, raise skepticism of results of fear paper.
+ 5. Make a supplementary materials file
+   * The manuscript has been modified to clarify where a review of superspace methods can be found in the referenced material.